2408963004000 has 2112 divisors, whose sum is σ = 10696648015872. Its totient is φ = 521520768000.

The previous prime is 2408963003981. The next prime is 2408963004017. The reversal of 2408963004000 is 4003698042.

It is a happy number.

2408963004000 is a `hidden beast` number, since 240 + 8 + 9 + 6 + 3 + 0 + 0 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 351 ways as a sum of consecutive naturals, for example, 51254531977 + ... + 51254532023.

Almost surely, 2^{2408963004000} is an apocalyptic number.

2408963004000 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 2408963004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348324007936).

2408963004000 is an abundant number, since it is smaller than the sum of its proper divisors (8287685011872).

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

2408963004000 is an frugal number, since it uses more digits than its factorization.

2408963004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2408963004000 in words is "two trillion, four hundred eight billion, nine hundred sixty-three million, four thousand".