2140545205224 has 96 divisors (see below), whose sum is σ = 5811810942600. Its totient is φ = 711732510720.

The previous prime is 2140545205171. The next prime is 2140545205237. The reversal of 2140545205224 is 4225025450412.

2140545205224 is a `hidden beast` number, since 2 + 1 + 40 + 545 + 2 + 0 + 52 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2024388296100 + 116156909124 = 1422810^2 + 340818^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48870214 + ... + 48913994.

Almost surely, 2^{2140545205224} is an apocalyptic number.

2140545205224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2140545205224 is an abundant number, since it is smaller than the sum of its proper divisors (3671265737376).

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

2140545205224 is a wasteful number, since it uses less digits than its factorization.

2140545205224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45475 (or 45468 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 2140545205224 in words is "two trillion, one hundred forty billion, five hundred forty-five million, two hundred five thousand, two hundred twenty-four".