2831552640 has 768 divisors, whose sum is σ = 12325190400. Its totient is φ = 609140736.

The previous prime is 2831552629. The next prime is 2831552671. The reversal of 2831552640 is 462551382.

2831552640 is a `hidden beast` number, since 2 + 8 + 3 + 1 + 5 + 5 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 2831552595 and 2831552604.

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, 166561912 + ... + 166561928.

It is an arithmetic number, because the mean of its divisors is an integer number (16048425).

Almost surely, 2^2831552640 is an apocalyptic number.

2831552640 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 2831552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6162595200).

2831552640 is an abundant number, since it is smaller than the sum of its proper divisors (9493637760).

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

2831552640 is an frugal number, since it uses more digits than its factorization.

2831552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2831552640 is about 53212.3354120076. The cubic root of 2831552640 is about 1414.7342898215.

The spelling of 2831552640 in words is "two billion, eight hundred thirty-one million, five hundred fifty-two thousand, six hundred forty".