2365881984 has 192 divisors, whose sum is σ = 6972426240. Its totient is φ = 769886208.

The previous prime is 2365881983. The next prime is 2365882003. The reversal of 2365881984 is 4891885632.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 2365881984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2365881983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15069234 + ... + 15069390.

It is an arithmetic number, because the mean of its divisors is an integer number (36314720).

Almost surely, 2^2365881984 is an apocalyptic number.

2365881984 is a gapful number since it is divisible by the number (24) 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 2365881984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486213120).

2365881984 is an abundant number, since it is smaller than the sum of its proper divisors (4606544256).

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

2365881984 is a wasteful number, since it uses less digits than its factorization.

2365881984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 392 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 2365881984 is about 48640.3328935977. The cubic root of 2365881984 is about 1332.4912291463.

The spelling of 2365881984 in words is "two billion, three hundred sixty-five million, eight hundred eighty-one thousand, nine hundred eighty-four".