30871290240 has 640 divisors, whose sum is σ = 126877734720. Its totient is φ = 7007109120.

The previous prime is 30871290227. The next prime is 30871290271. The reversal of 30871290240 is 4209217803.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×30871290240² (a number of 22 digits) 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 = 30871290195 and 30871290204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87453904 + ... + 87454256.

Almost surely, 2^30871290240 is an apocalyptic number.

30871290240 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 30871290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63438867360).

30871290240 is an abundant number, since it is smaller than the sum of its proper divisors (96006444480).

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

30871290240 is a wasteful number, since it uses less digits than its factorization.

30871290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 30871290240 in words is "thirty billion, eight hundred seventy-one million, two hundred ninety thousand, two hundred forty".