2596768020 has 576 divisors, whose sum is σ = 10597257216. Its totient is φ = 498216960.

The previous prime is 2596767947. The next prime is 2596768021. The reversal of 2596768020 is 208676952.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2596768021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24268807 + ... + 24268913.

It is an arithmetic number, because the mean of its divisors is an integer number (18398016).

Almost surely, 2^2596768020 is an apocalyptic number.

2596768020 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 2596768020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298628608).

2596768020 is an abundant number, since it is smaller than the sum of its proper divisors (8000489196).

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

2596768020 is a wasteful number, since it uses less digits than its factorization.

2596768020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2596768020 is about 50958.4931095887. The cubic root of 2596768020 is about 1374.4988622241.

The spelling of 2596768020 in words is "two billion, five hundred ninety-six million, seven hundred sixty-eight thousand, twenty".