2407450080 has 384 divisors, whose sum is σ = 9266503680. Its totient is φ = 513515520.

The previous prime is 2407450063. The next prime is 2407450093. The reversal of 2407450080 is 800547042.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3020242 + ... + 3021038.

It is an arithmetic number, because the mean of its divisors is an integer number (24131520).

Almost surely, 2^2407450080 is an apocalyptic number.

2407450080 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 2407450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633251840).

2407450080 is an abundant number, since it is smaller than the sum of its proper divisors (6859053600).

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

2407450080 is a wasteful number, since it uses less digits than its factorization.

2407450080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2407450080 is about 49065.7729991080. The cubic root of 2407450080 is about 1340.2498383195.

The spelling of 2407450080 in words is "two billion, four hundred seven million, four hundred fifty thousand, eighty".