2579897628 has 540 divisors, whose sum is σ = 9246394080. Its totient is φ = 622702080.

The previous prime is 2579897627. The next prime is 2579897657. The reversal of 2579897628 is 8267989752.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2579897627) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 32656893 + ... + 32656971.

It is an arithmetic number, because the mean of its divisors is an integer number (17122952).

Almost surely, 2^2579897628 is an apocalyptic number.

2579897628 is a gapful number since it is divisible by the number (28) 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 2579897628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623197040).

2579897628 is an abundant number, since it is smaller than the sum of its proper divisors (6666496452).

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

2579897628 is a wasteful number, since it uses less digits than its factorization.

2579897628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 2579897628 is about 50792.6926634137. The cubic root of 2579897628 is about 1371.5158294369.

The spelling of 2579897628 in words is "two billion, five hundred seventy-nine million, eight hundred ninety-seven thousand, six hundred twenty-eight".