2513286144 has 220 divisors, whose sum is σ = 7592101924. Its totient is φ = 828112896.

The previous prime is 2513286133. The next prime is 2513286151. The reversal of 2513286144 is 4416823152.

It is a happy number.

2513286144 is a `hidden beast` number, since 2 + 5 + 1 + 32 + 8 + 614 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 671846400 + 1841439744 = 25920^2 + 42912^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2513286099 and 2513286108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13022112 + ... + 13022304.

Almost surely, 2^2513286144 is an apocalyptic number.

2513286144 is a gapful number since it is divisible by the number (24) 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 2513286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796050962).

2513286144 is an abundant number, since it is smaller than the sum of its proper divisors (5078815780).

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

2513286144 is a wasteful number, since it uses less digits than its factorization.

2513286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 355 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2513286144 is about 50132.6853858837. The cubic root of 2513286144 is about 1359.6088379088.

The spelling of 2513286144 in words is "two billion, five hundred thirteen million, two hundred eighty-six thousand, one hundred forty-four".