2831538640 has 80 divisors (see below), whose sum is σ = 7601513472. Its totient is φ = 960786432.

The previous prime is 2831538629. The next prime is 2831538659. The reversal of 2831538640 is 468351382.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2831538640² = 16035222139626099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2831538593 and 2831538602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28257 + ... + 80383.

Almost surely, 2^2831538640 is an apocalyptic number.

2831538640 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 2831538640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800756736).

2831538640 is an abundant number, since it is smaller than the sum of its proper divisors (4769974832).

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

2831538640 is a wasteful number, since it uses less digits than its factorization.

2831538640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52244 (or 52238 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 2831538640 is about 53212.2038633996. The cubic root of 2831538640 is about 1414.7319582017.

The spelling of 2831538640 in words is "two billion, eight hundred thirty-one million, five hundred thirty-eight thousand, six hundred forty".