2432890980 has 144 divisors (see below), whose sum is σ = 8132604480. Its totient is φ = 584914176.

The previous prime is 2432890973. The next prime is 2432890981. The reversal of 2432890980 is 890982342.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2432890981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88531 + ... + 112709.

It is an arithmetic number, because the mean of its divisors is an integer number (56476420).

Almost surely, 2^2432890980 is an apocalyptic number.

2432890980 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 2432890980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066302240).

2432890980 is an abundant number, since it is smaller than the sum of its proper divisors (5699713500).

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

2432890980 is a wasteful number, since it uses less digits than its factorization.

2432890980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24250 (or 24245 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2432890980 is about 49324.3446991443. The cubic root of 2432890980 is about 1344.9543670573.

The spelling of 2432890980 in words is "two billion, four hundred thirty-two million, eight hundred ninety thousand, nine hundred eighty".