2797635360 has 384 divisors, whose sum is σ = 10052937216. Its totient is φ = 648806400.

The previous prime is 2797635359. The next prime is 2797635389. The reversal of 2797635360 is 635367972.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14495424 + ... + 14495616.

It is an arithmetic number, because the mean of its divisors is an integer number (26179524).

Almost surely, 2^2797635360 is an apocalyptic number.

2797635360 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 2797635360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026468608).

2797635360 is an abundant number, since it is smaller than the sum of its proper divisors (7255301856).

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

2797635360 is a wasteful number, since it uses less digits than its factorization.

2797635360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 48.

The square root of 2797635360 is about 52892.6777541088. The cubic root of 2797635360 is about 1409.0628650377.

It can be divided in two parts, 27976 and 35360, that added together give a palindrome (63336).

The spelling of 2797635360 in words is "two billion, seven hundred ninety-seven million, six hundred thirty-five thousand, three hundred sixty".