2864957906120 has 32 divisors (see below), whose sum is σ = 6620375705400. Its totient is φ = 1115010643968.

The previous prime is 2864957906099. The next prime is 2864957906159. The reversal of 2864957906120 is 216097594682.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2857837584196 + 7120321924 = 1690514^2 + 84382^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2864957906120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 967889705 + ... + 967892664.

Almost surely, 2^{2864957906120} is an apocalyptic number.

2864957906120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2864957906120 is an abundant number, since it is smaller than the sum of its proper divisors (3755417799280).

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

2864957906120 is a wasteful number, since it uses less digits than its factorization.

2864957906120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935782417 (or 1935782413 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 59.

The spelling of 2864957906120 in words is "two trillion, eight hundred sixty-four billion, nine hundred fifty-seven million, nine hundred six thousand, one hundred twenty".