2512874144 has 48 divisors (see below), whose sum is σ = 5411720160. Its totient is φ = 1139093760.

The previous prime is 2512874093. The next prime is 2512874173. The reversal of 2512874144 is 4414782152.

It is a super-3 number, since 3×2512874144³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2512874098 and 2512874107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121727 + ... + 140865.

It is an arithmetic number, because the mean of its divisors is an integer number (112744170).

Almost surely, 2^2512874144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2512874144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705860080).

2512874144 is an abundant number, since it is smaller than the sum of its proper divisors (2898846016).

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

2512874144 is a wasteful number, since it uses less digits than its factorization.

2512874144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19533 (or 19525 counting only the distinct ones).

The product of its digits is 71680, while the sum is 38.

The square root of 2512874144 is about 50128.5761218090. The cubic root of 2512874144 is about 1359.5345408304.

The spelling of 2512874144 in words is "two billion, five hundred twelve million, eight hundred seventy-four thousand, one hundred forty-four".