2540467200 has 264 divisors, whose sum is σ = 8843367520. Its totient is φ = 641433600.

The previous prime is 2540467177. The next prime is 2540467211. The reversal of 2540467200 is 27640452.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1458330 + ... + 1460070.

Almost surely, 2^2540467200 is an apocalyptic number.

2540467200 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 2540467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421683760).

2540467200 is an abundant number, since it is smaller than the sum of its proper divisors (6302900320).

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

2540467200 is a wasteful number, since it uses less digits than its factorization.

2540467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2540467200 is about 50403.0475269105. The cubic root of 2540467200 is about 1364.4926397364.

The spelling of 2540467200 in words is "two billion, five hundred forty million, four hundred sixty-seven thousand, two hundred".