2540412600 has 384 divisors, whose sum is σ = 8997281280. Its totient is φ = 587520000.

The previous prime is 2540412577. The next prime is 2540412607. The reversal of 2540412600 is 62140452.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540412607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24664149 + ... + 24664251.

It is an arithmetic number, because the mean of its divisors is an integer number (23430420).

Almost surely, 2^2540412600 is an apocalyptic number.

2540412600 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 2540412600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498640640).

2540412600 is an abundant number, since it is smaller than the sum of its proper divisors (6456868680).

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

2540412600 is a wasteful number, since it uses less digits than its factorization.

2540412600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2540412600 is about 50402.5058900845. The cubic root of 2540412600 is about 1364.4828643911.

The spelling of 2540412600 in words is "two billion, five hundred forty million, four hundred twelve thousand, six hundred".