31242498000 has 1280 divisors, whose sum is σ = 133705728000. Its totient is φ = 6231859200.

The previous prime is 31242497911. The next prime is 31242498059. The reversal of 31242498000 is 89424213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 664733977 + ... + 664734023.

It is an arithmetic number, because the mean of its divisors is an integer number (104457600).

Almost surely, 2^31242498000 is an apocalyptic number.

31242498000 is a gapful number since it is divisible by the number (30) 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 31242498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66852864000).

31242498000 is an abundant number, since it is smaller than the sum of its proper divisors (102463230000).

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

31242498000 is a wasteful number, since it uses less digits than its factorization.

31242498000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 31242498000 in words is "thirty-one billion, two hundred forty-two million, four hundred ninety-eight thousand".