2530492800 has 384 divisors, whose sum is σ = 9397969920. Its totient is φ = 592896000.

The previous prime is 2530492793. The next prime is 2530492807. The reversal of 2530492800 is 82940352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2530492793) and next prime (2530492807).

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (33) 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530492807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3273214 + ... + 3273986.

It is an arithmetic number, because the mean of its divisors is an integer number (24473880).

Almost surely, 2^2530492800 is an apocalyptic number.

2530492800 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 2530492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698984960).

2530492800 is an abundant number, since it is smaller than the sum of its proper divisors (6867477120).

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

2530492800 is a wasteful number, since it uses less digits than its factorization.

2530492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2530492800 is about 50304.0038167937. The cubic root of 2530492800 is about 1362.7045373714.

The spelling of 2530492800 in words is "two billion, five hundred thirty million, four hundred ninety-two thousand, eight hundred".