2380687710720 has 1280 divisors, whose sum is σ = 8913884474880. Its totient is φ = 536556339200.

The previous prime is 2380687710701. The next prime is 2380687710757. The reversal of 2380687710720 is 270177860832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

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, 13761200554 + ... + 13761200726.

It is an arithmetic number, because the mean of its divisors is an integer number (6963972246).

Almost surely, 2^{2380687710720} is an apocalyptic number.

2380687710720 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 2380687710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456942237440).

2380687710720 is an abundant number, since it is smaller than the sum of its proper divisors (6533196764160).

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

2380687710720 is a wasteful number, since it uses less digits than its factorization.

2380687710720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The spelling of 2380687710720 in words is "two trillion, three hundred eighty billion, six hundred eighty-seven million, seven hundred ten thousand, seven hundred twenty".