2857472640 has 320 divisors, whose sum is σ = 11134458720. Its totient is φ = 692582400.

The previous prime is 2857472627. The next prime is 2857472671. The reversal of 2857472640 is 462747582.

It is a happy number.

2857472640 is a `hidden beast` number, since 2 + 8 + 574 + 72 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 567735 + ... + 572745.

Almost surely, 2^2857472640 is an apocalyptic number.

2857472640 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 2857472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567229360).

2857472640 is an abundant number, since it is smaller than the sum of its proper divisors (8276986080).

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

2857472640 is a wasteful number, since it uses less digits than its factorization.

2857472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 2857472640 is about 53455.3331296326. Note that the first 3 decimals coincide. The cubic root of 2857472640 is about 1419.0380047838.

The spelling of 2857472640 in words is "two billion, eight hundred fifty-seven million, four hundred seventy-two thousand, six hundred forty".