2507379420 has 192 divisors, whose sum is σ = 8751697920. Its totient is φ = 522243072.

The previous prime is 2507379383. The next prime is 2507379421. The reversal of 2507379420 is 249737052.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2507379421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428434 + ... + 434246.

It is an arithmetic number, because the mean of its divisors is an integer number (45581760).

Almost surely, 2^2507379420 is an apocalyptic number.

2507379420 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 2507379420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375848960).

2507379420 is an abundant number, since it is smaller than the sum of its proper divisors (6244318500).

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

2507379420 is a wasteful number, since it uses less digits than its factorization.

2507379420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924 (or 5922 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 2507379420 is about 50073.7398243830. The cubic root of 2507379420 is about 1358.5428850387.

The spelling of 2507379420 in words is "two billion, five hundred seven million, three hundred seventy-nine thousand, four hundred twenty".