2368880640 has 720 divisors, whose sum is σ = 10305090432. Its totient is φ = 509607936.

The previous prime is 2368880629. The next prime is 2368880659. The reversal of 2368880640 is 460888632.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2368880640² = 11223190973133619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 139345912 + ... + 139345928.

Almost surely, 2^2368880640 is an apocalyptic number.

2368880640 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 2368880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152545216).

2368880640 is an abundant number, since it is smaller than the sum of its proper divisors (7936209792).

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

2368880640 is an frugal number, since it uses more digits than its factorization.

2368880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2368880640 is about 48671.1479215356. The cubic root of 2368880640 is about 1333.0539503518.

The spelling of 2368880640 in words is "two billion, three hundred sixty-eight million, eight hundred eighty thousand, six hundred forty".