2007407424 has 168 divisors, whose sum is σ = 5925092544. Its totient is φ = 599244800.

The previous prime is 2007407411. The next prime is 2007407431. The reversal of 2007407424 is 4247047002.

It is a junction number, because it is equal to n+sod(n) for n = 2007407391 and 2007407400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1648864 + ... + 1650080.

It is an arithmetic number, because the mean of its divisors is an integer number (35268408).

Almost surely, 2^2007407424 is an apocalyptic number.

2007407424 is a gapful number since it is divisible by the number (24) 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 2007407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962546272).

2007407424 is an abundant number, since it is smaller than the sum of its proper divisors (3917685120).

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

2007407424 is a wasteful number, since it uses less digits than its factorization.

2007407424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 2007407424 is about 44804.1005266259. The cubic root of 2007407424 is about 1261.4745950797.

The spelling of 2007407424 in words is "two billion, seven million, four hundred seven thousand, four hundred twenty-four".