2140458736900 has 72 divisors (see below), whose sum is σ = 5067886509504. Its totient is φ = 778220073600.

The previous prime is 2140458736883. The next prime is 2140458736931. The reversal of 2140458736900 is 96378540412.

It is a happy number.

It is a super-2 number, since 2×2140458736900² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6632689 + ... + 6947911.

It is an arithmetic number, because the mean of its divisors is an integer number (70387312632).

It is a 1-persistent number, because it is pandigital, but 2⋅2140458736900 = 4280917473800 is not.

Almost surely, 2^{2140458736900} is an apocalyptic number.

2140458736900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140458736900 is an abundant number, since it is smaller than the sum of its proper divisors (2927427772604).

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

2140458736900 is a wasteful number, since it uses less digits than its factorization.

2140458736900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321421 (or 321414 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 2140458736900 in words is "two trillion, one hundred forty billion, four hundred fifty-eight million, seven hundred thirty-six thousand, nine hundred".