2530104901632 has 1632 divisors, whose sum is σ = 10069775988480. Its totient is φ = 591900180480.

The previous prime is 2530104901631. The next prime is 2530104901633. The reversal of 2530104901632 is 2361094010352.

2530104901632 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 1 + 0 + 490 + 163 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2530104901631) and next prime (2530104901633).

It is a tau number, because it is divible by the number of its divisors (1632).

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 (2530104901631) 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, 22390308808 + ... + 22390308920.

Almost surely, 2^{2530104901632} is an apocalyptic number.

2530104901632 is a gapful number since it is divisible by the number (22) 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 2530104901632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034887994240).

2530104901632 is an abundant number, since it is smaller than the sum of its proper divisors (7539671086848).

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

2530104901632 is a wasteful number, since it uses less digits than its factorization.

2530104901632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 2530104901632 its reverse (2361094010352), we get a palindrome (4891198911984).

The spelling of 2530104901632 in words is "two trillion, five hundred thirty billion, one hundred four million, nine hundred one thousand, six hundred thirty-two".