2532215114400 has 144 divisors (see below), whose sum is σ = 8242883296704. Its totient is φ = 675214510080.

The previous prime is 2532215114311. The next prime is 2532215114417. The reversal of 2532215114400 is 44115122352.

It is a super-2 number, since 2×2532215114400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60860004 + ... + 60901596.

It is an arithmetic number, because the mean of its divisors is an integer number (57242245116).

Almost surely, 2^{2532215114400} is an apocalyptic number.

2532215114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2532215114400 is an abundant number, since it is smaller than the sum of its proper divisors (5710668182304).

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

2532215114400 is a wasteful number, since it uses less digits than its factorization.

2532215114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66983 (or 66970 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 2532215114400 in words is "two trillion, five hundred thirty-two billion, two hundred fifteen million, one hundred fourteen thousand, four hundred".