2780088480 has 480 divisors, whose sum is σ = 10949677200. Its totient is φ = 659570688.

The previous prime is 2780088469. The next prime is 2780088511. The reversal of 2780088480 is 848800872.

It can be written as a sum of positive squares in 8 ways, for example, as 322705296 + 2457383184 = 17964^2 + 49572^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4885636 + ... + 4886204.

Almost surely, 2^2780088480 is an apocalyptic number.

2780088480 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 2780088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474838600).

2780088480 is an abundant number, since it is smaller than the sum of its proper divisors (8169588720).

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

2780088480 is a wasteful number, since it uses less digits than its factorization.

2780088480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 2780088480 is about 52726.5443586056. The cubic root of 2780088480 is about 1406.1107851519.

The spelling of 2780088480 in words is "two billion, seven hundred eighty million, eighty-eight thousand, four hundred eighty".