2368788840 has 512 divisors, whose sum is σ = 9396518400. Its totient is φ = 524206080.

The previous prime is 2368788809. The next prime is 2368788853. The reversal of 2368788840 is 488878632.

It is a super-3 number, since 3×2368788840³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7472362 + ... + 7472678.

It is an arithmetic number, because the mean of its divisors is an integer number (18352575).

Almost surely, 2^2368788840 is an apocalyptic number.

2368788840 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 2368788840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698259200).

2368788840 is an abundant number, since it is smaller than the sum of its proper divisors (7027729560).

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

2368788840 is a wasteful number, since it uses less digits than its factorization.

2368788840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 2368788840 is about 48670.2048485518. The cubic root of 2368788840 is about 1333.0367304138.

The spelling of 2368788840 in words is "two billion, three hundred sixty-eight million, seven hundred eighty-eight thousand, eight hundred forty".