2512292328000 has 4032 divisors, whose sum is σ = 12559444934400. Its totient is φ = 485968896000.

The previous prime is 2512292327977. The next prime is 2512292328001. The reversal of 2512292328000 is 8232922152.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×2512292328000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512292328001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 81041687985 + ... + 81041688015.

It is an arithmetic number, because the mean of its divisors is an integer number (3114941700).

Almost surely, 2^{2512292328000} is an apocalyptic number.

2512292328000 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 2512292328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279722467200).

2512292328000 is an abundant number, since it is smaller than the sum of its proper divisors (10047152606400).

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

2512292328000 is a wasteful number, since it uses less digits than its factorization.

2512292328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2512292328000 in words is "two trillion, five hundred twelve billion, two hundred ninety-two million, three hundred twenty-eight thousand".