2693121408 has 192 divisors, whose sum is σ = 8359369200. Its totient is φ = 829440000.

The previous prime is 2693121407. The next prime is 2693121437. The reversal of 2693121408 is 8041213962.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2693121401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 895908 + ... + 898908.

Almost surely, 2^2693121408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2693121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179684600).

2693121408 is an abundant number, since it is smaller than the sum of its proper divisors (5666247792).

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

2693121408 is a wasteful number, since it uses less digits than its factorization.

2693121408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2693121408 is about 51895.2927345053. The cubic root of 2693121408 is about 1391.2931409188.

The spelling of 2693121408 in words is "two billion, six hundred ninety-three million, one hundred twenty-one thousand, four hundred eight".