2479988121408 has 896 divisors, whose sum is σ = 9033160089600. Its totient is φ = 651792531456.

The previous prime is 2479988121367. The next prime is 2479988121439. The reversal of 2479988121408 is 8041218899742.

2479988121408 is a `hidden beast` number, since 2 + 47 + 9 + 98 + 81 + 21 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 916137591 + ... + 916140297.

Almost surely, 2^{2479988121408} is an apocalyptic number.

2479988121408 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 2479988121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516580044800).

2479988121408 is an abundant number, since it is smaller than the sum of its proper divisors (6553171968192).

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

2479988121408 is a wasteful number, since it uses less digits than its factorization.

2479988121408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 2479988121408 in words is "two trillion, four hundred seventy-nine billion, nine hundred eighty-eight million, one hundred twenty-one thousand, four hundred eight".