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2490116544 = 26327160889
BaseRepresentation
bin1001010001101100…
…0010100111000000
320102112121000201200
42110123002213000
520044432212134
61051031501200
7115464432666
oct22433024700
96375530650
102490116544
111068673463
12595b27800
13308b7b956
141989dac36
15e8927499
hex946c29c0

2490116544 has 84 divisors (see below), whose sum is σ = 7238116080. Its totient is φ = 818334720.

The previous prime is 2490116537. The next prime is 2490116549. The reversal of 2490116544 is 4456110942.

2490116544 is a `hidden beast` number, since 2 + 490 + 1 + 165 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2490116499 and 2490116508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2490116549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10452 + ... + 71340.

Almost surely, 22490116544 is an apocalyptic number.

2490116544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2490116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619058040).

2490116544 is an abundant number, since it is smaller than the sum of its proper divisors (4747999536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2490116544 is a wasteful number, since it uses less digits than its factorization.

2490116544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60978 (or 60965 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2490116544 is about 49901.0675637305. The cubic root of 2490116544 is about 1355.4179243984.

The spelling of 2490116544 in words is "two billion, four hundred ninety million, one hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 852 1136 1278 1704 2272 2556 3408 4544 5112 6816 10224 13632 20448 40896 60889 121778 182667 243556 365334 487112 548001 730668 974224 1096002 1461336 1948448 2192004 2922672 3896896 4323119 4384008 5845344 8646238 8768016 11690688 12969357 17292476 17536032 25938714 34584952 35072064 38908071 51877428 69169904 77816142 103754856 138339808 155632284 207509712 276679616 311264568 415019424 622529136 830038848 1245058272 2490116544