2974605963840 has 1008 divisors, whose sum is σ = 12708727244928. Its totient is φ = 635194441728.

The previous prime is 2974605963709. The next prime is 2974605963877. The reversal of 2974605963840 is 483695064792.

2974605963840 is a `hidden beast` number, since 2 + 9 + 7 + 4 + 6 + 0 + 596 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×2974605963840² (a number of 26 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 139557024 + ... + 139578336.

Almost surely, 2^{2974605963840} is an apocalyptic number.

2974605963840 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 2974605963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6354363622464).

2974605963840 is an abundant number, since it is smaller than the sum of its proper divisors (9734121281088).

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

2974605963840 is a wasteful number, since it uses less digits than its factorization.

2974605963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21416 (or 21396 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 2974605963840 in words is "two trillion, nine hundred seventy-four billion, six hundred five million, nine hundred sixty-three thousand, eight hundred forty".