2857634640 has 400 divisors, whose sum is σ = 11511548928. Its totient is φ = 643479552.

The previous prime is 2857634629. The next prime is 2857634641. The reversal of 2857634640 is 464367582.

2857634640 is a `hidden beast` number, since 2 + 8 + 5 + 7 + 634 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2857634641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3310849 + ... + 3311711.

Almost surely, 2^2857634640 is an apocalyptic number.

2857634640 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 2857634640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755774464).

2857634640 is an abundant number, since it is smaller than the sum of its proper divisors (8653914288).

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

2857634640 is a wasteful number, since it uses less digits than its factorization.

2857634640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2857634640 is about 53456.8483919507. The cubic root of 2857634640 is about 1419.0648210000.

The spelling of 2857634640 in words is "two billion, eight hundred fifty-seven million, six hundred thirty-four thousand, six hundred forty".