2595780 has 192 divisors, whose sum is σ = 9676800. Its totient is φ = 570240.

The previous prime is 2595773. The next prime is 2595787. The reversal of 2595780 is 875952.

It is an interprime number because it is at equal distance from previous prime (2595773) and next prime (2595787).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2¹⁹ + 5³ + 9² + 5⁹ + 7⁶ + 8³ + 0 .

It is not an unprimeable number, because it can be changed into a prime (2595787) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112849 + ... + 112871.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

2^2595780 is an apocalyptic number.

2595780 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 2595780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

2595780 is an abundant number, since it is smaller than the sum of its proper divisors (7081020).

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

2595780 is a wasteful number, since it uses less digits than its factorization.

2595780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 2595780 is about 1611.1424518024. The cubic root of 2595780 is about 137.4324516701.

It can be divided in two parts, 2595 and 780, that added together give a cube (3375 = 15³).

The spelling of 2595780 in words is "two million, five hundred ninety-five thousand, seven hundred eighty".