2214907325400 has 768 divisors, whose sum is σ = 9356521144320. Its totient is φ = 419189760000.

The previous prime is 2214907325357. The next prime is 2214907325429. The reversal of 2214907325400 is 45237094122.

It is a super-2 number, since 2×2214907325400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24301915 + ... + 24392885.

It is an arithmetic number, because the mean of its divisors is an integer number (12182970240).

Almost surely, 2^{2214907325400} is an apocalyptic number.

2214907325400 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 2214907325400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678260572160).

2214907325400 is an abundant number, since it is smaller than the sum of its proper divisors (7141613818920).

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

2214907325400 is a wasteful number, since it uses less digits than its factorization.

2214907325400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91056 (or 91047 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 2214907325400 in words is "two trillion, two hundred fourteen billion, nine hundred seven million, three hundred twenty-five thousand, four hundred".