2288748000 has 384 divisors, whose sum is σ = 9351853056. Its totient is φ = 475392000.

The previous prime is 2288747987. The next prime is 2288748031. The reversal of 2288748000 is 8478822.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2288748000.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 922762 + ... + 925238.

It is an arithmetic number, because the mean of its divisors is an integer number (24353784).

Almost surely, 2^2288748000 is an apocalyptic number.

2288748000 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 2288748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675926528).

2288748000 is an abundant number, since it is smaller than the sum of its proper divisors (7063105056).

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

2288748000 is a wasteful number, since it uses less digits than its factorization.

2288748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 2288748000 is about 47840.8611962619. The cubic root of 2288748000 is about 1317.8500354763.

The spelling of 2288748000 in words is "two billion, two hundred eighty-eight million, seven hundred forty-eight thousand".