2635442880 has 224 divisors, whose sum is σ = 10066690560. Its totient is φ = 570654720.

The previous prime is 2635442851. The next prime is 2635442893. The reversal of 2635442880 is 882445362.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117360 + ... + 138000.

Almost surely, 2^2635442880 is an apocalyptic number.

2635442880 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 2635442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033345280).

2635442880 is an abundant number, since it is smaller than the sum of its proper divisors (7431247680).

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

2635442880 is a wasteful number, since it uses less digits than its factorization.

2635442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20687 (or 20677 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 2635442880 is about 51336.5647467767. The cubic root of 2635442880 is about 1381.2889448558.

The spelling of 2635442880 in words is "two billion, six hundred thirty-five million, four hundred forty-two thousand, eight hundred eighty".