2214635657920 has 336 divisors, whose sum is σ = 6586997516352. Its totient is φ = 704567377920.

The previous prime is 2214635657909. The next prime is 2214635657959. The reversal of 2214635657920 is 297565364122.

It is a super-2 number, since 2×2214635657920² (a number of 25 digits) contains 22 as substring.

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, 18867252 + ... + 18984268.

Almost surely, 2^{2214635657920} is an apocalyptic number.

2214635657920 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 2214635657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293498758176).

2214635657920 is an abundant number, since it is smaller than the sum of its proper divisors (4372361858432).

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

2214635657920 is a wasteful number, since it uses less digits than its factorization.

2214635657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117136 (or 117119 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 2214635657920 in words is "two trillion, two hundred fourteen billion, six hundred thirty-five million, six hundred fifty-seven thousand, nine hundred twenty".