2531672640 has 672 divisors, whose sum is σ = 10784067840. Its totient is φ = 532021248.

The previous prime is 2531672639. The next prime is 2531672641. The reversal of 2531672640 is 462761352.

2531672640 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 6 + 7 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2531672639) and next prime (2531672641).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2531672640² = 12818732712249139200, which contains 22 as substring.

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 = 2531672595 and 2531672604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531672641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28445716 + ... + 28445804.

It is an arithmetic number, because the mean of its divisors is an integer number (16047720).

Almost surely, 2^2531672640 is an apocalyptic number.

2531672640 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 2531672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392033920).

2531672640 is an abundant number, since it is smaller than the sum of its proper divisors (8252395200).

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

2531672640 is a wasteful number, since it uses less digits than its factorization.

2531672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2531672640 is about 50315.7295485219. The cubic root of 2531672640 is about 1362.9162910545.

The spelling of 2531672640 in words is "two billion, five hundred thirty-one million, six hundred seventy-two thousand, six hundred forty".