2638215360 has 560 divisors, whose sum is σ = 10798698240. Its totient is φ = 604661760.

The previous prime is 2638215353. The next prime is 2638215361. The reversal of 2638215360 is 635128362.

It is a happy number.

2638215360 is a `hidden beast` number, since 2 + 638 + 2 + 15 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2638215361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5417037 + ... + 5417523.

Almost surely, 2^2638215360 is an apocalyptic number.

2638215360 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 2638215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399349120).

2638215360 is an abundant number, since it is smaller than the sum of its proper divisors (8160482880).

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

2638215360 is a wasteful number, since it uses less digits than its factorization.

2638215360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2638215360 is about 51363.5606242402. The cubic root of 2638215360 is about 1381.7731460601.

The spelling of 2638215360 in words is "two billion, six hundred thirty-eight million, two hundred fifteen thousand, three hundred sixty".