2541857040 has 120 divisors (see below), whose sum is σ = 8566248600. Its totient is φ = 675459072.

The previous prime is 2541857039. The next prime is 2541857063. The reversal of 2541857040 is 407581452.

2541857040 is a `hidden beast` number, since 2 + 5 + 41 + 8 + 570 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1040449536 + 1501407504 = 32256^2 + 38748^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2541857040² = 12922074423595123200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2541856986 and 2541857004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204936 + ... + 216984.

It is an arithmetic number, because the mean of its divisors is an integer number (71385405).

Almost surely, 2^2541857040 is an apocalyptic number.

2541857040 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 2541857040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283124300).

2541857040 is an abundant number, since it is smaller than the sum of its proper divisors (6024391560).

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

2541857040 is a wasteful number, since it uses less digits than its factorization.

2541857040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12361 (or 12352 counting only the distinct ones).

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

The square root of 2541857040 is about 50416.8329033072. The cubic root of 2541857040 is about 1364.7414234670.

The spelling of 2541857040 in words is "two billion, five hundred forty-one million, eight hundred fifty-seven thousand, forty".