2372883408 has 360 divisors, whose sum is σ = 8117951400. Its totient is φ = 644474880.

The previous prime is 2372883391. The next prime is 2372883427. The reversal of 2372883408 is 8043882732.

2372883408 is a `hidden beast` number, since 23 + 7 + 288 + 340 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23736384 + 2349147024 = 4872^2 + 48468^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15925318 + ... + 15925466.

It is an arithmetic number, because the mean of its divisors is an integer number (22549865).

Almost surely, 2^2372883408 is an apocalyptic number.

2372883408 is a gapful number since it is divisible by the number (28) 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 2372883408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058975700).

2372883408 is an abundant number, since it is smaller than the sum of its proper divisors (5745067992).

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

2372883408 is a wasteful number, since it uses less digits than its factorization.

2372883408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2372883408 is about 48712.2511079092. The cubic root of 2372883408 is about 1333.8043614687.

The spelling of 2372883408 in words is "two billion, three hundred seventy-two million, eight hundred eighty-three thousand, four hundred eight".