2531456640 has 192 divisors, whose sum is σ = 9201909600. Its totient is φ = 639498240.

The previous prime is 2531456579. The next prime is 2531456671. The reversal of 2531456640 is 466541352.

2531456640 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 4 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 2531456595 and 2531456604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97875 + ... + 121005.

Almost surely, 2^2531456640 is an apocalyptic number.

2531456640 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 2531456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600954800).

2531456640 is an abundant number, since it is smaller than the sum of its proper divisors (6670452960).

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

2531456640 is a wasteful number, since it uses less digits than its factorization.

2531456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23175 (or 23160 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2531456640 is about 50313.5830566657. The cubic root of 2531456640 is about 1362.8775290273.

Adding to 2531456640 its reverse (466541352), we get a palindrome (2997997992).

The spelling of 2531456640 in words is "two billion, five hundred thirty-one million, four hundred fifty-six thousand, six hundred forty".