2114547530400 has 144 divisors (see below), whose sum is σ = 7647613646400. Its totient is φ = 563879335680.

The previous prime is 2114547530321. The next prime is 2114547530401. The reversal of 2114547530400 is 40357454112.

2114547530400 is a `hidden beast` number, since 2 + 1 + 1 + 45 + 47 + 530 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2114547530400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2114547530401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48926260 + ... + 48969459.

It is an arithmetic number, because the mean of its divisors is an integer number (53108428100).

Almost surely, 2^{2114547530400} is an apocalyptic number.

2114547530400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114547530400 is an abundant number, since it is smaller than the sum of its proper divisors (5533066116000).

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

2114547530400 is a wasteful number, since it uses less digits than its factorization.

2114547530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97895748 (or 97895729 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 2114547530400 in words is "two trillion, one hundred fourteen billion, five hundred forty-seven million, five hundred thirty thousand, four hundred".