2968156275840 has 1792 divisors, whose sum is σ = 13219920691200. Its totient is φ = 621592289280.

The previous prime is 2968156275839. The next prime is 2968156275857. The reversal of 2968156275840 is 485726518692.

2968156275840 is a `hidden beast` number, since 2 + 9 + 68 + 1 + 562 + 7 + 5 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1923626109 + ... + 1923627651.

Almost surely, 2^{2968156275840} is an apocalyptic number.

2968156275840 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 2968156275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609960345600).

2968156275840 is an abundant number, since it is smaller than the sum of its proper divisors (10251764415360).

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

2968156275840 is a wasteful number, since it uses less digits than its factorization.

2968156275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 2968156275840 in words is "two trillion, nine hundred sixty-eight billion, one hundred fifty-six million, two hundred seventy-five thousand, eight hundred forty".