2000309402560 has 448 divisors, whose sum is σ = 5967845498880. Its totient is φ = 623154954240.

The previous prime is 2000309402543. The next prime is 2000309402563. The reversal of 2000309402560 is 652049030002.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000309402563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149080972 + ... + 149094388.

Almost surely, 2^{2000309402560} is an apocalyptic number.

2000309402560 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 2000309402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983922749440).

2000309402560 is an abundant number, since it is smaller than the sum of its proper divisors (3967536096320).

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

2000309402560 is a wasteful number, since it uses less digits than its factorization.

2000309402560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13604 (or 13594 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 2000309402560 in words is "two trillion, three hundred nine million, four hundred two thousand, five hundred sixty".