2156758302720 has 672 divisors, whose sum is σ = 8310757754880. Its totient is φ = 466574376960.

The previous prime is 2156758302719. The next prime is 2156758302749. The reversal of 2156758302720 is 272038576512.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2156758302720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2091908605 + ... + 2091909635.

It is an arithmetic number, because the mean of its divisors is an integer number (12367199040).

Almost surely, 2^{2156758302720} is an apocalyptic number.

2156758302720 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 2156758302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155378877440).

2156758302720 is an abundant number, since it is smaller than the sum of its proper divisors (6153999452160).

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

2156758302720 is an frugal number, since it uses more digits than its factorization.

2156758302720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 2156758302720 in words is "two trillion, one hundred fifty-six billion, seven hundred fifty-eight million, three hundred two thousand, seven hundred twenty".