2407944420 has 288 divisors, whose sum is σ = 8657445888. Its totient is φ = 530343936.

The previous prime is 2407944419. The next prime is 2407944421. The reversal of 2407944420 is 244497042.

It is an interprime number because it is at equal distance from previous prime (2407944419) and next prime (2407944421).

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

It is not an unprimeable number, because it can be changed into a prime (2407944421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4322782 + ... + 4323338.

It is an arithmetic number, because the mean of its divisors is an integer number (30060576).

Almost surely, 2^2407944420 is an apocalyptic number.

2407944420 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 2407944420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328722944).

2407944420 is an abundant number, since it is smaller than the sum of its proper divisors (6249501468).

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

2407944420 is a wasteful number, since it uses less digits than its factorization.

2407944420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2407944420 is about 49070.8102643517. The cubic root of 2407944420 is about 1340.3415665991.

The spelling of 2407944420 in words is "two billion, four hundred seven million, nine hundred forty-four thousand, four hundred twenty".