2540186880 has 576 divisors, whose sum is σ = 10341789696. Its totient is φ = 520396800.

The previous prime is 2540186867. The next prime is 2540186881. The reversal of 2540186880 is 886810452.

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 (2540186881) 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, 35777245 + ... + 35777315.

It is an arithmetic number, because the mean of its divisors is an integer number (17954496).

Almost surely, 2^2540186880 is an apocalyptic number.

2540186880 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 2540186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170894848).

2540186880 is an abundant number, since it is smaller than the sum of its proper divisors (7801602816).

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

2540186880 is an equidigital number, since it uses as much as digits as its factorization.

2540186880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 2540186880 is about 50400.2666659612. The cubic root of 2540186880 is about 1364.4424509829.

It can be divided in two parts, 2540 and 186880, that added together give a triangular number (189420 = T₆₁₅).

The spelling of 2540186880 in words is "two billion, five hundred forty million, one hundred eighty-six thousand, eight hundred eighty".