2432953980 has 72 divisors (see below), whose sum is σ = 7814085552. Its totient is φ = 610622976.

The previous prime is 2432953969. The next prime is 2432953987. The reversal of 2432953980 is 893592342.

It is a happy number.

2432953980 is a `hidden beast` number, since 2 + 4 + 32 + 9 + 539 + 80 = 666.

2432953980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432953987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394482 + ... + 400601.

It is an arithmetic number, because the mean of its divisors is an integer number (108528966).

Almost surely, 2^2432953980 is an apocalyptic number.

2432953980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2432953980 is an abundant number, since it is smaller than the sum of its proper divisors (5381131572).

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

2432953980 is a wasteful number, since it uses less digits than its factorization.

2432953980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795115 (or 795110 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2432953980 is about 49324.9833248831. The cubic root of 2432953980 is about 1344.9659762080.

The spelling of 2432953980 in words is "two billion, four hundred thirty-two million, nine hundred fifty-three thousand, nine hundred eighty".