2693423990400 has 1152 divisors, whose sum is σ = 10572324577920. Its totient is φ = 598659072000.

The previous prime is 2693423990359. The next prime is 2693423990471. The reversal of 2693423990400 is 40993243962.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2612437885 + ... + 2612438915.

It is an arithmetic number, because the mean of its divisors is an integer number (9177365085).

Almost surely, 2^{2693423990400} is an apocalyptic number.

2693423990400 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 2693423990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286162288960).

2693423990400 is an abundant number, since it is smaller than the sum of its proper divisors (7878900587520).

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

2693423990400 is a wasteful number, since it uses less digits than its factorization.

2693423990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 51.

The spelling of 2693423990400 in words is "two trillion, six hundred ninety-three billion, four hundred twenty-three million, nine hundred ninety thousand, four hundred".