2693975040 has 528 divisors, whose sum is σ = 10461316320. Its totient is φ = 637009920.

The previous prime is 2693975033. The next prime is 2693975071. The reversal of 2693975040 is 405793962.

It is a happy number.

It is a super-2 number, since 2×2693975040² = 14515003032286003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14883750 + ... + 14883930.

Almost surely, 2^2693975040 is an apocalyptic number.

2693975040 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 2693975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230658160).

2693975040 is an abundant number, since it is smaller than the sum of its proper divisors (7767341280).

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

2693975040 is a wasteful number, since it uses less digits than its factorization.

2693975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 2693975040 is about 51903.5166438653. The cubic root of 2693975040 is about 1391.4401236334.

The spelling of 2693975040 in words is "two billion, six hundred ninety-three million, nine hundred seventy-five thousand, forty".