2214907130880 has 1056 divisors, whose sum is σ = 8576491123200. Its totient is φ = 546291744768.

The previous prime is 2214907130857. The next prime is 2214907130951. The reversal of 2214907130880 is 880317094122.

It is a happy number.

2214907130880 is a `hidden beast` number, since 2 + 21 + 490 + 7 + 130 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1016477631 + ... + 1016479809.

It is an arithmetic number, because the mean of its divisors is an integer number (8121677200).

Almost surely, 2^{2214907130880} is an apocalyptic number.

2214907130880 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 2214907130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288245561600).

2214907130880 is an abundant number, since it is smaller than the sum of its proper divisors (6361583992320).

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

2214907130880 is a wasteful number, since it uses less digits than its factorization.

2214907130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2214907130880 in words is "two trillion, two hundred fourteen billion, nine hundred seven million, one hundred thirty thousand, eight hundred eighty".