2921264640 has 480 divisors, whose sum is σ = 11796744960. Its totient is φ = 654262272.

The previous prime is 2921264629. The next prime is 2921264657. The reversal of 2921264640 is 464621292.

2921264640 is a `hidden beast` number, since 2 + 9 + 2 + 1 + 2 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2921264595 and 2921264604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9515367 + ... + 9515673.

It is an arithmetic number, because the mean of its divisors is an integer number (24576552).

Almost surely, 2^2921264640 is an apocalyptic number.

2921264640 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 2921264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898372480).

2921264640 is an abundant number, since it is smaller than the sum of its proper divisors (8875480320).

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

2921264640 is a wasteful number, since it uses less digits than its factorization.

2921264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2921264640 is about 54048.7246843068. The cubic root of 2921264640 is about 1429.5202133067.

The spelling of 2921264640 in words is "two billion, nine hundred twenty-one million, two hundred sixty-four thousand, six hundred forty".