2635460480 has 64 divisors (see below), whose sum is σ = 6332364000. Its totient is φ = 1048836096.

The previous prime is 2635460459. The next prime is 2635460501. The reversal of 2635460480 is 840645362.

2635460480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2635460459) and next prime (2635460501).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117014 + ... + 137706.

Almost surely, 2^2635460480 is an apocalyptic number.

2635460480 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 2635460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166182000).

2635460480 is an abundant number, since it is smaller than the sum of its proper divisors (3696903520).

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

2635460480 is a wasteful number, since it uses less digits than its factorization.

2635460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20911 (or 20899 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 2635460480 is about 51336.7361642713. The cubic root of 2635460480 is about 1381.2920196877.

The spelling of 2635460480 in words is "two billion, six hundred thirty-five million, four hundred sixty thousand, four hundred eighty".