2693807677440 has 896 divisors, whose sum is σ = 10584099532800. Its totient is φ = 644547870720.

The previous prime is 2693807677391. The next prime is 2693807677471. The reversal of 2693807677440 is 447767083962.

It is a happy number.

2693807677440 is a `hidden beast` number, since 26 + 9 + 38 + 0 + 76 + 77 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 961043079 + ... + 961045881.

Almost surely, 2^{2693807677440} is an apocalyptic number.

2693807677440 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 2693807677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292049766400).

2693807677440 is an abundant number, since it is smaller than the sum of its proper divisors (7890291855360).

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

2693807677440 is a wasteful number, since it uses less digits than its factorization.

2693807677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 2693807677440 in words is "two trillion, six hundred ninety-three billion, eight hundred seven million, six hundred seventy-seven thousand, four hundred forty".