2114560455040 has 768 divisors, whose sum is σ = 6159691137600. Its totient is φ = 690330009600.

The previous prime is 2114560455031. The next prime is 2114560455061. The reversal of 2114560455040 is 405540654112.

It is a super-2 number, since 2×2114560455040² (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 95 ways as a sum of consecutive naturals, for example, 3703257955 + ... + 3703258525.

Almost surely, 2^{2114560455040} is an apocalyptic number.

2114560455040 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 2114560455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079845568800).

2114560455040 is an abundant number, since it is smaller than the sum of its proper divisors (4045130682560).

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

2114560455040 is a wasteful number, since it uses less digits than its factorization.

2114560455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 2114560455040 in words is "two trillion, one hundred fourteen billion, five hundred sixty million, four hundred fifty-five thousand, forty".