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2490229560 = 2335713457499
BaseRepresentation
bin1001010001101101…
…1110001100111000
320102112210202202110
42110123132030320
520044444321220
61051034132320
7115465413330
oct22433361470
96375722673
102490229560
111068740365
12595b810a0
13308bbb220
14198a2a0c0
15e894abe0
hex946de338

2490229560 has 256 divisors, whose sum is σ = 9233280000. Its totient is φ = 523210752.

The previous prime is 2490229543. The next prime is 2490229583. The reversal of 2490229560 is 659220942.

2490229560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24902295602 = 12402486522995587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4990191 + ... + 4990689.

It is an arithmetic number, because the mean of its divisors is an integer number (36067500).

Almost surely, 22490229560 is an apocalyptic number.

2490229560 is a gapful number since it is divisible by the number (20) 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 2490229560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4616640000).

2490229560 is an abundant number, since it is smaller than the sum of its proper divisors (6743050440).

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

2490229560 is a wasteful number, since it uses less digits than its factorization.

2490229560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 2490229560 is about 49902.1999515051. The cubic root of 2490229560 is about 1355.4384296763.

The spelling of 2490229560 in words is "two billion, four hundred ninety million, two hundred twenty-nine thousand, five hundred sixty".