2635015152 has 320 divisors, whose sum is σ = 9027993600. Its totient is φ = 641571840.

The previous prime is 2635015127. The next prime is 2635015153. The reversal of 2635015152 is 2515105362.

It is a happy number.

2635015152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2635015153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11025049 + ... + 11025287.

It is an arithmetic number, because the mean of its divisors is an integer number (28212480).

Almost surely, 2^2635015152 is an apocalyptic number.

2635015152 is a gapful number since it is divisible by the number (22) 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 2635015152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513996800).

2635015152 is an abundant number, since it is smaller than the sum of its proper divisors (6392978448).

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

2635015152 is a wasteful number, since it uses less digits than its factorization.

2635015152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 2635015152 is about 51332.3986581574. The cubic root of 2635015152 is about 1381.2142138459.

The spelling of 2635015152 in words is "two billion, six hundred thirty-five million, fifteen thousand, one hundred fifty-two".