2540834400 has 576 divisors, whose sum is σ = 9575387136. Its totient is φ = 580608000.

The previous prime is 2540834371. The next prime is 2540834407. The reversal of 2540834400 is 44380452.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540834407) 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, 35786365 + ... + 35786435.

It is an arithmetic number, because the mean of its divisors is an integer number (16623936).

Almost surely, 2^2540834400 is an apocalyptic number.

2540834400 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 2540834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787693568).

2540834400 is an abundant number, since it is smaller than the sum of its proper divisors (7034552736).

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

2540834400 is a wasteful number, since it uses less digits than its factorization.

2540834400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2540834400 is about 50406.6900321773. The cubic root of 2540834400 is about 1364.5583779805.

The spelling of 2540834400 in words is "two billion, five hundred forty million, eight hundred thirty-four thousand, four hundred".