2857644241920 has 1056 divisors, whose sum is σ = 11307520573440. Its totient is φ = 662171811840.

The previous prime is 2857644241913. The next prime is 2857644241967. The reversal of 2857644241920 is 291424467582.

2857644241920 is a `hidden beast` number, since 2 + 8 + 5 + 7 + 6 + 442 + 4 + 192 + 0 = 666.

It is a super-2 number, since 2×2857644241920² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687096801 + ... + 687100959.

Almost surely, 2^{2857644241920} is an apocalyptic number.

2857644241920 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 2857644241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653760286720).

2857644241920 is an abundant number, since it is smaller than the sum of its proper divisors (8449876331520).

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

2857644241920 is a wasteful number, since it uses less digits than its factorization.

2857644241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2857644241920 in words is "two trillion, eight hundred fifty-seven billion, six hundred forty-four million, two hundred forty-one thousand, nine hundred twenty".