2408088883200 has 2496 divisors, whose sum is σ = 11007999442944. Its totient is φ = 448266240000.

The previous prime is 2408088883183. The next prime is 2408088883201. The reversal of 2408088883200 is 23888808042.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2408088883201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12607795105 + ... + 12607795295.

Almost surely, 2^{2408088883200} is an apocalyptic number.

2408088883200 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 2408088883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503999721472).

2408088883200 is an abundant number, since it is smaller than the sum of its proper divisors (8599910559744).

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

2408088883200 is a wasteful number, since it uses less digits than its factorization.

2408088883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 51.

The spelling of 2408088883200 in words is "two trillion, four hundred eight billion, eighty-eight million, eight hundred eighty-three thousand, two hundred".