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2474930640 = 2435713223379
BaseRepresentation
bin1001001110000100…
…0111000111010000
320101111000111120210
42103201013013100
520032040240030
61045330204120
7115221364140
oct22341070720
96344014523
102474930640
111060041026
12590a23640
13305992800
141969a6920
15e7427bb0
hex938471d0

2474930640 has 480 divisors, whose sum is σ = 9933649920. Its totient is φ = 498161664.

The previous prime is 2474930599. The next prime is 2474930657. The reversal of 2474930640 is 460394742.

It is a super-2 number, since 2×24749306402 = 12250563345621619200, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6529971 + ... + 6530349.

It is an arithmetic number, because the mean of its divisors is an integer number (20695104).

Almost surely, 22474930640 is an apocalyptic number.

2474930640 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 2474930640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966824960).

2474930640 is an abundant number, since it is smaller than the sum of its proper divisors (7458719280).

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

2474930640 is a wasteful number, since it uses less digits than its factorization.

2474930640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 2474930640 is about 49748.6747562184. The cubic root of 2474930640 is about 1352.6569785325.

The spelling of 2474930640 in words is "two billion, four hundred seventy-four million, nine hundred thirty thousand, six hundred forty".