2332421961408 has 1008 divisors, whose sum is σ = 9021334922496. Its totient is φ = 568457809920.

The previous prime is 2332421961323. The next prime is 2332421961439. The reversal of 2332421961408 is 8041691242332.

2332421961408 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 4 + 21 + 9 + 614 + 0 + 8 = 666.

2332421961408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×2332421961408³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 378452535 + ... + 378458697.

Almost surely, 2^{2332421961408} is an apocalyptic number.

2332421961408 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 2332421961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510667461248).

2332421961408 is an abundant number, since it is smaller than the sum of its proper divisors (6688912961088).

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

2332421961408 is a wasteful number, since it uses less digits than its factorization.

2332421961408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6282 (or 6262 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2332421961408 in words is "two trillion, three hundred thirty-two billion, four hundred twenty-one million, nine hundred sixty-one thousand, four hundred eight".