2015225430400 has 384 divisors, whose sum is σ = 6252146712000. Its totient is φ = 637781114880.

The previous prime is 2015225430391. The next prime is 2015225430431. The reversal of 2015225430400 is 40345225102.

It is a super-2 number, since 2×2015225430400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14198184 + ... + 14339416.

Almost surely, 2^{2015225430400} is an apocalyptic number.

2015225430400 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 2015225430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126073356000).

2015225430400 is an abundant number, since it is smaller than the sum of its proper divisors (4236921281600).

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

2015225430400 is a wasteful number, since it uses less digits than its factorization.

2015225430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141291 (or 141260 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The spelling of 2015225430400 in words is "two trillion, fifteen billion, two hundred twenty-five million, four hundred thirty thousand, four hundred".