2530478039040 has 1008 divisors, whose sum is σ = 10535406635520. Its totient is φ = 559613214720.

The previous prime is 2530478039039. The next prime is 2530478039087. The reversal of 2530478039040 is 409308740352.

2530478039040 is a `hidden beast` number, since 2 + 53 + 0 + 478 + 0 + 3 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 559961901 + ... + 559966419.

Almost surely, 2^{2530478039040} is an apocalyptic number.

2530478039040 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 2530478039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267703317760).

2530478039040 is an abundant number, since it is smaller than the sum of its proper divisors (8004928596480).

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

2530478039040 is a wasteful number, since it uses less digits than its factorization.

2530478039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2530478039040 in words is "two trillion, five hundred thirty billion, four hundred seventy-eight million, thirty-nine thousand, forty".