2635320560 has 80 divisors (see below), whose sum is σ = 6307709376. Its totient is φ = 1023197184.

The previous prime is 2635320553. The next prime is 2635320601. The reversal of 2635320560 is 650235362.

2635320560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1707149 + ... + 1708691.

Almost surely, 2^2635320560 is an apocalyptic number.

2635320560 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 2635320560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153854688).

2635320560 is an abundant number, since it is smaller than the sum of its proper divisors (3672388816).

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

2635320560 is a wasteful number, since it uses less digits than its factorization.

2635320560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The square root of 2635320560 is about 51335.3733793765. The cubic root of 2635320560 is about 1381.2675743961.

The spelling of 2635320560 in words is "two billion, six hundred thirty-five million, three hundred twenty thousand, five hundred sixty".