2793415872 has 336 divisors, whose sum is σ = 8835298560. Its totient is φ = 774918144.

The previous prime is 2793415871. The next prime is 2793415873. The reversal of 2793415872 is 2785143972.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2793415871) and next prime (2793415873).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (846720) is a multiple of the sum of its prime factors (280).

It is not an unprimeable number, because it can be changed into a prime (2793415871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14179678 + ... + 14179874.

Almost surely, 2^2793415872 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 2793415872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4417649280).

2793415872 is an abundant number, since it is smaller than the sum of its proper divisors (6041882688).

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

2793415872 is a wasteful number, since it uses less digits than its factorization.

2793415872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 2793415872 is about 52852.7754427334. The cubic root of 2793415872 is about 1408.3541098842.

The spelling of 2793415872 in words is "two billion, seven hundred ninety-three million, four hundred fifteen thousand, eight hundred seventy-two".