2530746720 has 384 divisors, whose sum is σ = 9266503680. Its totient is φ = 644474880.

The previous prime is 2530746719. The next prime is 2530746727. The reversal of 2530746720 is 276470352.

It is a happy number.

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 (2530746727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11348529 + ... + 11348751.

It is an arithmetic number, because the mean of its divisors is an integer number (24131520).

Almost surely, 2^2530746720 is an apocalyptic number.

2530746720 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 2530746720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633251840).

2530746720 is an abundant number, since it is smaller than the sum of its proper divisors (6735756960).

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

2530746720 is a wasteful number, since it uses less digits than its factorization.

2530746720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2530746720 is about 50306.5276082538. The cubic root of 2530746720 is about 1362.7501156296.

It can be divided in two parts, 25307 and 46720, that added together give a palindrome (72027).

The spelling of 2530746720 in words is "two billion, five hundred thirty million, seven hundred forty-six thousand, seven hundred twenty".