2541654720 has 448 divisors, whose sum is σ = 10007193600. Its totient is φ = 601989120.

The previous prime is 2541654701. The next prime is 2541654733. The reversal of 2541654720 is 274561452.

It is a happy number.

2541654720 is a `hidden beast` number, since 25 + 4 + 165 + 472 + 0 = 666.

2541654720 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4466596 + ... + 4467164.

Almost surely, 2^2541654720 is an apocalyptic number.

2541654720 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 2541654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003596800).

2541654720 is an abundant number, since it is smaller than the sum of its proper divisors (7465538880).

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

2541654720 is a wasteful number, since it uses less digits than its factorization.

2541654720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2541654720 is about 50414.8263906562. The cubic root of 2541654720 is about 1364.7052134827.

The spelling of 2541654720 in words is "two billion, five hundred forty-one million, six hundred fifty-four thousand, seven hundred twenty".