2215135254400 has 192 divisors, whose sum is σ = 5579720218800. Its totient is φ = 868650598400.

The previous prime is 2215135254391. The next prime is 2215135254427. The reversal of 2215135254400 is 44525315122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251173191 + ... + 251182009.

Almost surely, 2^{2215135254400} is an apocalyptic number.

2215135254400 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 2215135254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789860109400).

2215135254400 is an abundant number, since it is smaller than the sum of its proper divisors (3364584964400).

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

2215135254400 is a wasteful number, since it uses less digits than its factorization.

2215135254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10377 (or 10360 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 2215135254400 in words is "two trillion, two hundred fifteen billion, one hundred thirty-five million, two hundred fifty-four thousand, four hundred".