2632052880 has 200 divisors, whose sum is σ = 9679650552. Its totient is φ = 660566016.

The previous prime is 2632052873. The next prime is 2632052893. The reversal of 2632052880 is 882502362.

2632052880 is a `hidden beast` number, since 26 + 32 + 0 + 528 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1142710416 + 1489342464 = 33804^2 + 38592^2 .

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 39 ways as a sum of consecutive naturals, for example, 98214 + ... + 122106.

Almost surely, 2^2632052880 is an apocalyptic number.

2632052880 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 2632052880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839825276).

2632052880 is an abundant number, since it is smaller than the sum of its proper divisors (7047597672).

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

2632052880 is a wasteful number, since it uses less digits than its factorization.

2632052880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23935 (or 23920 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2632052880 is about 51303.5367201911. The cubic root of 2632052880 is about 1380.6964348654.

It can be divided in two parts, 263205 and 2880, that added together give a triangular number (266085 = T₇₂₉).

The spelling of 2632052880 in words is "two billion, six hundred thirty-two million, fifty-two thousand, eight hundred eighty".