2541535920 has 960 divisors, whose sum is σ = 11602828800. Its totient is φ = 505128960.

The previous prime is 2541535889. The next prime is 2541535933. The reversal of 2541535920 is 295351452.

It is a happy number.

2541535920 is a `hidden beast` number, since 2 + 54 + 15 + 3 + 592 + 0 = 666.

2541535920 is digitally balanced in base 2, because in such base 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 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, 43076851 + ... + 43076909.

It is an arithmetic number, because the mean of its divisors is an integer number (12086280).

Almost surely, 2^2541535920 is an apocalyptic number.

2541535920 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 2541535920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801414400).

2541535920 is an abundant number, since it is smaller than the sum of its proper divisors (9061292880).

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

2541535920 is a wasteful number, since it uses less digits than its factorization.

2541535920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 2541535920 is about 50413.6481520629. The cubic root of 2541535920 is about 1364.6839504968.

The spelling of 2541535920 in words is "two billion, five hundred forty-one million, five hundred thirty-five thousand, nine hundred twenty".