2788188480 has 840 divisors, whose sum is σ = 12557174784. Its totient is φ = 574801920.

The previous prime is 2788188449. The next prime is 2788188511. The reversal of 2788188480 is 848818872.

2788188480 is a `hidden beast` number, since 2 + 7 + 8 + 81 + 88 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2788188449) and next prime (2788188511).

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21954177 + ... + 21954303.

Almost surely, 2^2788188480 is an apocalyptic number.

2788188480 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 2788188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6278587392).

2788188480 is an abundant number, since it is smaller than the sum of its proper divisors (9768986304).

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

2788188480 is a wasteful number, since it uses less digits than its factorization.

2788188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 54.

The square root of 2788188480 is about 52803.2998968814. The cubic root of 2788188480 is about 1407.4750647329.

The spelling of 2788188480 in words is "two billion, seven hundred eighty-eight million, one hundred eighty-eight thousand, four hundred eighty".