2578940 has 72 divisors (see below), whose sum is σ = 6763680. Its totient is φ = 808704.

The previous prime is 2578931. The next prime is 2578943. The reversal of 2578940 is 498752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2578940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23606 + ... + 23714.

It is an arithmetic number, because the mean of its divisors is an integer number (93940).

2^2578940 is an apocalyptic number.

2578940 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 2578940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381840).

2578940 is an abundant number, since it is smaller than the sum of its proper divisors (4184740).

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

2578940 is a wasteful number, since it uses less digits than its factorization.

2578940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 2578940 is about 1605.9078429350. The cubic root of 2578940 is about 137.1346111527.

The spelling of 2578940 in words is "two million, five hundred seventy-eight thousand, nine hundred forty".