2820432960 has 672 divisors, whose sum is σ = 11183477760. Its totient is φ = 673339392.

The previous prime is 2820432947. The next prime is 2820432973. The reversal of 2820432960 is 692340282.

It is an interprime number because it is at equal distance from previous prime (2820432947) and next prime (2820432973).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 33981079 + ... + 33981161.

It is an arithmetic number, because the mean of its divisors is an integer number (16642080).

Almost surely, 2^2820432960 is an apocalyptic number.

2820432960 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 2820432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591738880).

2820432960 is an abundant number, since it is smaller than the sum of its proper divisors (8363044800).

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

2820432960 is a wasteful number, since it uses less digits than its factorization.

2820432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2820432960 is about 53107.7485871883. The cubic root of 2820432960 is about 1412.8799443618.

The spelling of 2820432960 in words is "two billion, eight hundred twenty million, four hundred thirty-two thousand, nine hundred sixty".