2832896640 has 512 divisors, whose sum is σ = 10882045440. Its totient is φ = 613416960.

The previous prime is 2832896597. The next prime is 2832896657. The reversal of 2832896640 is 466982382.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2832896640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29205072 + ... + 29205168.

It is an arithmetic number, because the mean of its divisors is an integer number (21253995).

Almost surely, 2^2832896640 is an apocalyptic number.

2832896640 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 2832896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5441022720).

2832896640 is an abundant number, since it is smaller than the sum of its proper divisors (8049148800).

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

2832896640 is a wasteful number, since it uses less digits than its factorization.

2832896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 2832896640 is about 53224.9625645711. The cubic root of 2832896640 is about 1414.9580895493.

2832896640 divided by its sum of digits (48) gives a triangular number (59018680 = T₁₀₈₆₄).

The spelling of 2832896640 in words is "two billion, eight hundred thirty-two million, eight hundred ninety-six thousand, six hundred forty".