30952074240 has 704 divisors, whose sum is σ = 116209336320. Its totient is φ = 7803371520.

The previous prime is 30952074169. The next prime is 30952074247. The reversal of 30952074240 is 4247025903.

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 = 30952074195 and 30952074204.

It is not an unprimeable number, because it can be changed into a prime (30952074247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243717057 + ... + 243717183.

It is an arithmetic number, because the mean of its divisors is an integer number (165070080).

Almost surely, 2^30952074240 is an apocalyptic number.

30952074240 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 30952074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58104668160).

30952074240 is an abundant number, since it is smaller than the sum of its proper divisors (85257262080).

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

30952074240 is a wasteful number, since it uses less digits than its factorization.

30952074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

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

The spelling of 30952074240 in words is "thirty billion, nine hundred fifty-two million, seventy-four thousand, two hundred forty".