2407388045520 has 160 divisors (see below), whose sum is σ = 7724281507200. Its totient is φ = 619509123072.

The previous prime is 2407388045473. The next prime is 2407388045533. The reversal of 2407388045520 is 255408837042.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2407388045520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13364211 + ... + 13543149.

It is an arithmetic number, because the mean of its divisors is an integer number (48276759420).

Almost surely, 2^{2407388045520} is an apocalyptic number.

2407388045520 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 2407388045520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862140753600).

2407388045520 is an abundant number, since it is smaller than the sum of its proper divisors (5316893461680).

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

2407388045520 is a wasteful number, since it uses less digits than its factorization.

2407388045520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180917 (or 180911 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 2407388045520 in words is "two trillion, four hundred seven billion, three hundred eighty-eight million, forty-five thousand, five hundred twenty".