2001760401300 has 288 divisors, whose sum is σ = 6349374864000. Its totient is φ = 482893824000.

The previous prime is 2001760401287. The next prime is 2001760401317. The reversal of 2001760401300 is 31040671002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 623794096 + ... + 623797304.

It is an arithmetic number, because the mean of its divisors is an integer number (22046440500).

Almost surely, 2^{2001760401300} is an apocalyptic number.

2001760401300 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 2001760401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174687432000).

2001760401300 is an abundant number, since it is smaller than the sum of its proper divisors (4347614462700).

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

2001760401300 is a wasteful number, since it uses less digits than its factorization.

2001760401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 2001760401300 in words is "two trillion, one billion, seven hundred sixty million, four hundred one thousand, three hundred".