2900964960 has 72 divisors (see below), whose sum is σ = 9899547840. Its totient is φ = 773590272.

The previous prime is 2900964893. The next prime is 2900964967. The reversal of 2900964960 is 694690092.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2900964967) 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, 1005840 + ... + 1008719.

It is an arithmetic number, because the mean of its divisors is an integer number (137493720).

Almost surely, 2^2900964960 is an apocalyptic number.

2900964960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2900964960 is an abundant number, since it is smaller than the sum of its proper divisors (6998582880).

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

2900964960 is a wasteful number, since it uses less digits than its factorization.

2900964960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014580 (or 2014569 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 2900964960 is about 53860.6067548445. The cubic root of 2900964960 is about 1426.2012990960.

The spelling of 2900964960 in words is "two billion, nine hundred million, nine hundred sixty-four thousand, nine hundred sixty".