2924864640 has 224 divisors, whose sum is σ = 10485258300. Its totient is φ = 779839488.

The previous prime is 2924864633. The next prime is 2924864653. The reversal of 2924864640 is 464684292.

2924864640 is a `hidden beast` number, since 2 + 92 + 486 + 46 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2846435904 + 78428736 = 53352^2 + 8856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 463426 + ... + 469694.

Almost surely, 2^2924864640 is an apocalyptic number.

2924864640 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 2924864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242629150).

2924864640 is an abundant number, since it is smaller than the sum of its proper divisors (7560393660).

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

2924864640 is an frugal number, since it uses more digits than its factorization.

2924864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6306 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 2924864640 is about 54082.0177138390. The cubic root of 2924864640 is about 1430.1071919908.

The spelling of 2924864640 in words is "two billion, nine hundred twenty-four million, eight hundred sixty-four thousand, six hundred forty".