2540813184 has 320 divisors, whose sum is σ = 9309817440. Its totient is φ = 669855744.

The previous prime is 2540813161. The next prime is 2540813189. The reversal of 2540813184 is 4813180452.

2540813184 is a `hidden beast` number, since 2 + 540 + 8 + 1 + 31 + 84 = 666.

2540813184 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 hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (2540813189) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 942142 + ... + 944834.

Almost surely, 2^2540813184 is an apocalyptic number.

2540813184 is a gapful number since it is divisible by the number (24) 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 2540813184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654908720).

2540813184 is an abundant number, since it is smaller than the sum of its proper divisors (6769004256).

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

2540813184 is a wasteful number, since it uses less digits than its factorization.

2540813184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2540813184 is about 50406.4795834821. The cubic root of 2540813184 is about 1364.5545799433.

The spelling of 2540813184 in words is "two billion, five hundred forty million, eight hundred thirteen thousand, one hundred eighty-four".