2401900383960 has 1536 divisors, whose sum is σ = 10738553978880. Its totient is φ = 467455795200.

The previous prime is 2401900383947. The next prime is 2401900384003. The reversal of 2401900383960 is 693830091042.

It is a happy number.

2401900383960 is a `hidden beast` number, since 2 + 40 + 190 + 0 + 38 + 396 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3957001977 + ... + 3957002583.

It is an arithmetic number, because the mean of its divisors is an integer number (6991246080).

Almost surely, 2^{2401900383960} is an apocalyptic number.

2401900383960 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 2401900383960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369276989440).

2401900383960 is an abundant number, since it is smaller than the sum of its proper divisors (8336653594920).

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

2401900383960 is a wasteful number, since it uses less digits than its factorization.

2401900383960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 2401900383960 in words is "two trillion, four hundred one billion, nine hundred million, three hundred eighty-three thousand, nine hundred sixty".