2790328320 has 576 divisors, whose sum is σ = 11107802160. Its totient is φ = 641728512.

The previous prime is 2790328273. The next prime is 2790328357. The reversal of 2790328320 is 238230972.

2790328320 is a `hidden beast` number, since 2 + 7 + 9 + 0 + 328 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1187767296 + 1602561024 = 34464^2 + 40032^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20367292 + ... + 20367428.

Almost surely, 2^2790328320 is an apocalyptic number.

2790328320 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 2790328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553901080).

2790328320 is an abundant number, since it is smaller than the sum of its proper divisors (8317473840).

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

2790328320 is a wasteful number, since it uses less digits than its factorization.

2790328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2790328320 is about 52823.5583807074. The cubic root of 2790328320 is about 1407.8350357696.

The spelling of 2790328320 in words is "two billion, seven hundred ninety million, three hundred twenty-eight thousand, three hundred twenty".