2140956476820 has 288 divisors, whose sum is σ = 7467896217600. Its totient is φ = 486339379200.

The previous prime is 2140956476689. The next prime is 2140956476837. The reversal of 2140956476820 is 286746590412.

2140956476820 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 9 + 564 + 76 + 8 + 2 + 0 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 279896356 + ... + 279904004.

It is an arithmetic number, because the mean of its divisors is an integer number (25930195200).

Almost surely, 2^{2140956476820} is an apocalyptic number.

2140956476820 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 2140956476820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733948108800).

2140956476820 is an abundant number, since it is smaller than the sum of its proper divisors (5326939740780).

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

2140956476820 is a wasteful number, since it uses less digits than its factorization.

2140956476820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9015 (or 9010 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2140956476820 in words is "two trillion, one hundred forty billion, nine hundred fifty-six million, four hundred seventy-six thousand, eight hundred twenty".