2596418160 has 160 divisors (see below), whose sum is σ = 9739948032. Its totient is φ = 558551040.

The previous prime is 2596418159. The next prime is 2596418161. The reversal of 2596418160 is 618146952.

It is an interprime number because it is at equal distance from previous prime (2596418159) and next prime (2596418161).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2596418161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16896 + ... + 74015.

Almost surely, 2^2596418160 is an apocalyptic number.

2596418160 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 2596418160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869974016).

2596418160 is an abundant number, since it is smaller than the sum of its proper divisors (7143529872).

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

2596418160 is a wasteful number, since it uses less digits than its factorization.

2596418160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90951 (or 90945 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 2596418160 is about 50955.0602001411. The cubic root of 2596418160 is about 1374.4371311586.

The spelling of 2596418160 in words is "two billion, five hundred ninety-six million, four hundred eighteen thousand, one hundred sixty".