2007005921280 has 880 divisors, whose sum is σ = 7673561224560. Its totient is φ = 500095254528.

The previous prime is 2007005921269. The next prime is 2007005921329. The reversal of 2007005921280 is 821295007002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14438891451 + ... + 14438891589.

It is an arithmetic number, because the mean of its divisors is an integer number (8719955937).

Almost surely, 2^{2007005921280} is an apocalyptic number.

2007005921280 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 2007005921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836780612280).

2007005921280 is an abundant number, since it is smaller than the sum of its proper divisors (5666555303280).

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

2007005921280 is an frugal number, since it uses more digits than its factorization.

2007005921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 2007005921280 in words is "two trillion, seven billion, five million, nine hundred twenty-one thousand, two hundred eighty".