2408801649408 has 2160 divisors, whose sum is σ = 9662968465920. Its totient is φ = 582903889920.

The previous prime is 2408801649379. The next prime is 2408801649421. The reversal of 2408801649408 is 8049461088042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27065187028 + ... + 27065187116.

It is an arithmetic number, because the mean of its divisors is an integer number (4473596512).

Almost surely, 2^{2408801649408} is an apocalyptic number.

2408801649408 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 2408801649408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831484232960).

2408801649408 is an abundant number, since it is smaller than the sum of its proper divisors (7254166816512).

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

2408801649408 is a wasteful number, since it uses less digits than its factorization.

2408801649408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 2408801649408 in words is "two trillion, four hundred eight billion, eight hundred one million, six hundred forty-nine thousand, four hundred eight".