2541906360 has 384 divisors, whose sum is σ = 9994881600. Its totient is φ = 580027392.

The previous prime is 2541906359. The next prime is 2541906361. The reversal of 2541906360 is 636091452.

It is a happy number.

2541906360 is a `hidden beast` number, since 2 + 5 + 4 + 19 + 0 + 636 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2541906359) and next prime (2541906361).

It is a super-2 number, since 2×2541906360² = 12922575886016899200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541906361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4286224 + ... + 4286816.

Almost surely, 2^2541906360 is an apocalyptic number.

2541906360 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 2541906360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997440800).

2541906360 is an abundant number, since it is smaller than the sum of its proper divisors (7452975240).

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

2541906360 is an equidigital number, since it uses as much as digits as its factorization.

2541906360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2541906360 is about 50417.3220232888. The cubic root of 2541906360 is about 1364.7502501648.

The spelling of 2541906360 in words is "two billion, five hundred forty-one million, nine hundred six thousand, three hundred sixty".