2512089242640 has 200 divisors, whose sum is σ = 8729716583808. Its totient is φ = 669517436160.

The previous prime is 2512089242617. The next prime is 2512089242647. The reversal of 2512089242640 is 462429802152.

2512089242640 is a `hidden beast` number, since 2 + 512 + 0 + 8 + 92 + 4 + 2 + 6 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2512089242647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11628249 + ... + 11842311.

Almost surely, 2^{2512089242640} is an apocalyptic number.

2512089242640 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 2512089242640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364858291904).

2512089242640 is an abundant number, since it is smaller than the sum of its proper divisors (6217627341168).

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

2512089242640 is a wasteful number, since it uses less digits than its factorization.

2512089242640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215899 (or 215884 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2512089242640 in words is "two trillion, five hundred twelve billion, eighty-nine million, two hundred forty-two thousand, six hundred forty".