2900468736 has 495 divisors, whose sum is σ = 10113307897. Its totient is φ = 827228160.

The previous prime is 2900468713. The next prime is 2900468737. The reversal of 2900468736 is 6378640092.

The square root of 2900468736 is 53856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2258150400 + 642318336 = 47520^2 + 25344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2900468691 and 2900468700.

It is not an unprimeable number, because it can be changed into a prime (2900468737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 170615800 + ... + 170615816.

Almost surely, 2^2900468736 is an apocalyptic number.

2900468736 is the 53856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2900468736

2900468736 is an abundant number, since it is smaller than the sum of its proper divisors (7212839161).

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

2900468736 is a wasteful number, since it uses less digits than its factorization.

2900468736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The cubic root of 2900468736 is about 1426.1199749298.

The spelling of 2900468736 in words is "two billion, nine hundred million, four hundred sixty-eight thousand, seven hundred thirty-six".