2890981632 has 576 divisors, whose sum is σ = 10549002240. Its totient is φ = 680140800.

The previous prime is 2890981579. The next prime is 2890981637. The reversal of 2890981632 is 2361890982.

It is a super-2 number, since 2×2890981632² = 16715549593122766848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2890981637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34831063 + ... + 34831145.

It is an arithmetic number, because the mean of its divisors is an integer number (18314240).

Almost surely, 2^2890981632 is an apocalyptic number.

2890981632 is a gapful number since it is divisible by the number (22) 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 2890981632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274501120).

2890981632 is an abundant number, since it is smaller than the sum of its proper divisors (7658020608).

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

2890981632 is a wasteful number, since it uses less digits than its factorization.

2890981632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 2890981632 is about 53767.8494269577. The cubic root of 2890981632 is about 1424.5633843646.

The spelling of 2890981632 in words is "two billion, eight hundred ninety million, nine hundred eighty-one thousand, six hundred thirty-two".