2530962720 has 768 divisors, whose sum is σ = 11064936960. Its totient is φ = 530841600.

The previous prime is 2530962719. The next prime is 2530962727. The reversal of 2530962720 is 272690352.

2530962720 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 9 + 627 + 20 = 666.

2530962720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2530962727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10501800 + ... + 10502040.

It is an arithmetic number, because the mean of its divisors is an integer number (14407470).

Almost surely, 2^2530962720 is an apocalyptic number.

2530962720 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 2530962720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532468480).

2530962720 is an abundant number, since it is smaller than the sum of its proper divisors (8533974240).

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

2530962720 is a wasteful number, since it uses less digits than its factorization.

2530962720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2530962720 is about 50308.6744011408. The cubic root of 2530962720 is about 1362.7888849052.

The spelling of 2530962720 in words is "two billion, five hundred thirty million, nine hundred sixty-two thousand, seven hundred twenty".