2380409740800 has 4320 divisors, whose sum is σ = 12033162453312. Its totient is φ = 435714785280.

The previous prime is 2380409740777. The next prime is 2380409740823. The reversal of 2380409740800 is 80479040832.

2380409740800 is a `hidden beast` number, since 23 + 80 + 409 + 74 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2380409740777) and next prime (2380409740823).

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 431 ways as a sum of consecutive naturals, for example, 64335398382 + ... + 64335398418.

Almost surely, 2^{2380409740800} is an apocalyptic number.

2380409740800 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 2380409740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016581226656).

2380409740800 is an abundant number, since it is smaller than the sum of its proper divisors (9652752712512).

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

2380409740800 is a wasteful number, since it uses less digits than its factorization.

2380409740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2380409740800 in words is "two trillion, three hundred eighty billion, four hundred nine million, seven hundred forty thousand, eight hundred".