2921145920640 has 96 divisors (see below), whose sum is σ = 10087082027100. Its totient is φ = 778972243968.

The previous prime is 2921145920599. The next prime is 2921145920647. The reversal of 2921145920640 is 460295411292.

2921145920640 is a `hidden beast` number, since 2 + 9 + 2 + 1 + 14 + 592 + 0 + 6 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2552658071616 + 368487849024 = 1597704^2 + 607032^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (2921145920647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253565935 + ... + 253577454.

Almost surely, 2^{2921145920640} is an apocalyptic number.

2921145920640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2921145920640 is an abundant number, since it is smaller than the sum of its proper divisors (7165936106460).

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

2921145920640 is a wasteful number, since it uses less digits than its factorization.

2921145920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507143414 (or 507143399 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2921145920640 in words is "two trillion, nine hundred twenty-one billion, one hundred forty-five million, nine hundred twenty thousand, six hundred forty".