2507093420 has 96 divisors (see below), whose sum is σ = 5837541696. Its totient is φ = 898560000.

The previous prime is 2507093401. The next prime is 2507093437. The reversal of 2507093420 is 243907052.

It is a happy 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, 2675192 + ... + 2676128.

It is an arithmetic number, because the mean of its divisors is an integer number (60807726).

Almost surely, 2^2507093420 is an apocalyptic number.

2507093420 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 2507093420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918770848).

2507093420 is an abundant number, since it is smaller than the sum of its proper divisors (3330448276).

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

2507093420 is a wasteful number, since it uses less digits than its factorization.

2507093420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 2507093420 is about 50070.8839546497. The cubic root of 2507093420 is about 1358.4912297746.

The spelling of 2507093420 in words is "two billion, five hundred seven million, ninety-three thousand, four hundred twenty".