2531247840 has 192 divisors, whose sum is σ = 9664945920. Its totient is φ = 613624320.

The previous prime is 2531247833. The next prime is 2531247841. The reversal of 2531247840 is 487421352.

It is a happy number.

2531247840 is a `hidden beast` number, since 2 + 531 + 2 + 47 + 84 + 0 = 666.

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 = 2531247795 and 2531247804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531247841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20887 + ... + 74153.

It is an arithmetic number, because the mean of its divisors is an integer number (50338260).

Almost surely, 2^2531247840 is an apocalyptic number.

2531247840 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 2531247840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832472960).

2531247840 is an abundant number, since it is smaller than the sum of its proper divisors (7133698080).

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

2531247840 is a wasteful number, since it uses less digits than its factorization.

2531247840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53302 (or 53288 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2531247840 is about 50311.5080274881. The cubic root of 2531247840 is about 1362.8400569716.

The spelling of 2531247840 in words is "two billion, five hundred thirty-one million, two hundred forty-seven thousand, eight hundred forty".