2288758680 has 384 divisors, whose sum is σ = 8475667200. Its totient is φ = 552033792.

The previous prime is 2288758679. The next prime is 2288758723. The reversal of 2288758680 is 868578822.

2288758680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 7455087 + ... + 7455393.

It is an arithmetic number, because the mean of its divisors is an integer number (22072050).

Almost surely, 2^2288758680 is an apocalyptic number.

2288758680 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 2288758680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237833600).

2288758680 is an abundant number, since it is smaller than the sum of its proper divisors (6186908520).

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

2288758680 is a wasteful number, since it uses less digits than its factorization.

2288758680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 2288758680 is about 47840.9728161960. The cubic root of 2288758680 is about 1317.8520853040.

The spelling of 2288758680 in words is "two billion, two hundred eighty-eight million, seven hundred fifty-eight thousand, six hundred eighty".