2674436136960 has 448 divisors, whose sum is σ = 9940724181504. Its totient is φ = 601266585600.

The previous prime is 2674436136941. The next prime is 2674436136991. The reversal of 2674436136960 is 696316344762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 2674436136960.

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, 52444275 + ... + 52495245.

Almost surely, 2^{2674436136960} is an apocalyptic number.

2674436136960 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 2674436136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970362090752).

2674436136960 is an abundant number, since it is smaller than the sum of its proper divisors (7266288044544).

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

2674436136960 is an equidigital number, since it uses as much as digits as its factorization.

2674436136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51073 (or 51049 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 57.

The spelling of 2674436136960 in words is "two trillion, six hundred seventy-four billion, four hundred thirty-six million, one hundred thirty-six thousand, nine hundred sixty".