2007392960880 has 320 divisors, whose sum is σ = 7004296696320. Its totient is φ = 528353777664.

The previous prime is 2007392960879. The next prime is 2007392960891. The reversal of 2007392960880 is 880692937002.

It is a happy number.

2007392960880 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 3 + 9 + 29 + 608 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212800644 + ... + 212810076.

It is an arithmetic number, because the mean of its divisors is an integer number (21888427176).

Almost surely, 2^{2007392960880} is an apocalyptic number.

2007392960880 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 2007392960880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502148348160).

2007392960880 is an abundant number, since it is smaller than the sum of its proper divisors (4996903735440).

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

2007392960880 is a wasteful number, since it uses less digits than its factorization.

2007392960880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10725 (or 10713 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2007392960880 in words is "two trillion, seven billion, three hundred ninety-two million, nine hundred sixty thousand, eight hundred eighty".