2511980 has 48 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 940800.

The previous prime is 2511979. The next prime is 2511983. The reversal of 2511980 is 891152.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2511983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35345 + ... + 35415.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

2^2511980 is an apocalyptic number.

2511980 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 2511980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2511980 is an abundant number, since it is smaller than the sum of its proper divisors (3112660).

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

2511980 is a wasteful number, since it uses less digits than its factorization.

2511980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 2511980 is about 1584.9227110493. The cubic root of 2511980 is about 135.9373269474.

The spelling of 2511980 in words is "two million, five hundred eleven thousand, nine hundred eighty".