2788292160 has 280 divisors, whose sum is σ = 10029733560. Its totient is φ = 735215616.

The previous prime is 2788292141. The next prime is 2788292173. The reversal of 2788292160 is 612928872.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 2785306176 = 1728^2 + 52776^2 .

It is a super-3 number, since 3×2788292160³ (a number of 29 digits) contains 333 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 39 ways as a sum of consecutive naturals, for example, 2513686 + ... + 2514794.

It is an arithmetic number, because the mean of its divisors is an integer number (35820477).

Almost surely, 2^2788292160 is an apocalyptic number.

2788292160 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 2788292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014866780).

2788292160 is an abundant number, since it is smaller than the sum of its proper divisors (7241441400).

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

2788292160 is a wasteful number, since it uses less digits than its factorization.

2788292160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2788292160 is about 52804.2816445788. The cubic root of 2788292160 is about 1407.4925103739.

The spelling of 2788292160 in words is "two billion, seven hundred eighty-eight million, two hundred ninety-two thousand, one hundred sixty".