2407402944240 has 160 divisors (see below), whose sum is σ = 8543618173440. Its totient is φ = 549325888512.

The previous prime is 2407402944197. The next prime is 2407402944263. The reversal of 2407402944240 is 424492047042.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2407402944192 and 2407402944201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234435 + ... + 2206754.

It is an arithmetic number, because the mean of its divisors is an integer number (53397613584).

Almost surely, 2^{2407402944240} is an apocalyptic number.

2407402944240 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 2407402944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271809086720).

2407402944240 is an abundant number, since it is smaller than the sum of its proper divisors (6136215229200).

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

2407402944240 is a wasteful number, since it uses less digits than its factorization.

2407402944240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441799 (or 2441793 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 2407402944240 in words is "two trillion, four hundred seven billion, four hundred two million, nine hundred forty-four thousand, two hundred forty".