2431250640 has 1200 divisors, whose sum is σ = 11494264320. Its totient is φ = 470292480.

The previous prime is 2431250617. The next prime is 2431250669. The reversal of 2431250640 is 460521342.

2431250640 is a `hidden beast` number, since 2 + 4 + 3 + 12 + 5 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 78427425 + ... + 78427455.

Almost surely, 2^2431250640 is an apocalyptic number.

2431250640 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 2431250640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747132160).

2431250640 is an abundant number, since it is smaller than the sum of its proper divisors (9063013680).

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

2431250640 is a wasteful number, since it uses less digits than its factorization.

2431250640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2431250640 is about 49307.7137981472. The cubic root of 2431250640 is about 1344.6520273747.

Adding to 2431250640 its reverse (460521342), we get a palindrome (2891771982).

The spelling of 2431250640 in words is "two billion, four hundred thirty-one million, two hundred fifty thousand, six hundred forty".