2540522880 has 320 divisors, whose sum is σ = 10370242080. Its totient is φ = 580608000.

The previous prime is 2540522869. The next prime is 2540522903. The reversal of 2540522880 is 882250452.

2540522880 is a `hidden beast` number, since 2 + 54 + 0 + 522 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 359380 + ... + 366380.

Almost surely, 2^2540522880 is an apocalyptic number.

2540522880 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 2540522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185121040).

2540522880 is an abundant number, since it is smaller than the sum of its proper divisors (7829719200).

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

2540522880 is an equidigital number, since it uses as much as digits as its factorization.

2540522880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7039 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 2540522880 is about 50403.5998714378. The cubic root of 2540522880 is about 1364.5026082959.

The spelling of 2540522880 in words is "two billion, five hundred forty million, five hundred twenty-two thousand, eight hundred eighty".