2001934310400 has 1320 divisors, whose sum is σ = 7756308497520. Its totient is φ = 511678218240.

The previous prime is 2001934310353. The next prime is 2001934310407. The reversal of 2001934310400 is 40134391002.

2001934310400 is a `hidden beast` number, since 2 + 0 + 0 + 193 + 431 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001934310407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14612659132 + ... + 14612659268.

It is an arithmetic number, because the mean of its divisors is an integer number (5875991286).

Almost surely, 2^{2001934310400} is an apocalyptic number.

2001934310400 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 2001934310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878154248760).

2001934310400 is an abundant number, since it is smaller than the sum of its proper divisors (5754374187120).

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

2001934310400 is an frugal number, since it uses more digits than its factorization.

2001934310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 2001934310400 in words is "two trillion, one billion, nine hundred thirty-four million, three hundred ten thousand, four hundred".