2541258720 has 1152 divisors, whose sum is σ = 12204960768. Its totient is φ = 464486400.

The previous prime is 2541258673. The next prime is 2541258737. The reversal of 2541258720 is 278521452.

It is a happy number.

2541258720 is a `hidden beast` number, since 2 + 54 + 1 + 2 + 587 + 20 = 666.

2541258720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59099019 + ... + 59099061.

It is an arithmetic number, because the mean of its divisors is an integer number (10594584).

Almost surely, 2^2541258720 is an apocalyptic number.

2541258720 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 2541258720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102480384).

2541258720 is an abundant number, since it is smaller than the sum of its proper divisors (9663702048).

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

2541258720 is a wasteful number, since it uses less digits than its factorization.

2541258720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2541258720 is about 50410.8988215842. The cubic root of 2541258720 is about 1364.6343342861.

The spelling of 2541258720 in words is "two billion, five hundred forty-one million, two hundred fifty-eight thousand, seven hundred twenty".