2808152064 has 255 divisors, whose sum is σ = 8770353823. Its totient is φ = 895352832.

The previous prime is 2808152057. The next prime is 2808152077. The reversal of 2808152064 is 4602518082.

The square root of 2808152064 is 52992.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 122093557 + ... + 122093579.

Almost surely, 2^2808152064 is an apocalyptic number.

2808152064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2808152064 is the 52992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2808152064

2808152064 is an abundant number, since it is smaller than the sum of its proper divisors (5962201759).

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

2808152064 is an frugal number, since it uses more digits than its factorization.

2808152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The cubic root of 2808152064 is about 1410.8262789361.

Multiplying 2808152064 by its sum of digits (36), we get a square (101093474304 = 317952²).

2808152064 divided by its sum of digits (36) gives a square (78004224 = 8832²).

The spelling of 2808152064 in words is "two billion, eight hundred eight million, one hundred fifty-two thousand, sixty-four".