2512742238720 has 960 divisors, whose sum is σ = 10355397212160. Its totient is φ = 572030926848.

The previous prime is 2512742238691. The next prime is 2512742238749. The reversal of 2512742238720 is 278322472152.

2512742238720 is a `hidden beast` number, since 2 + 5 + 127 + 422 + 3 + 87 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2512742238691) and next prime (2512742238749).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1232339461 + ... + 1232341499.

It is an arithmetic number, because the mean of its divisors is an integer number (10786872096).

Almost surely, 2^{2512742238720} is an apocalyptic number.

2512742238720 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 2512742238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177698606080).

2512742238720 is an abundant number, since it is smaller than the sum of its proper divisors (7842654973440).

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

2512742238720 is an equidigital number, since it uses as much as digits as its factorization.

2512742238720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 2512742238720 in words is "two trillion, five hundred twelve billion, seven hundred forty-two million, two hundred thirty-eight thousand, seven hundred twenty".