30249090362880 has 2880 divisors, whose sum is σ = 123839716036608. Its totient is φ = 6789888737280.

The previous prime is 30249090362867. The next prime is 30249090362893. The reversal of 30249090362880 is 8826309094203.

It is a happy number.

30249090362880 is a `hidden beast` number, since 3 + 0 + 2 + 4 + 9 + 0 + 9 + 0 + 3 + 628 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30249090362867) and next prime (30249090362893).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 293680488909 + ... + 293680489011.

Almost surely, 2^{30249090362880} is an apocalyptic number.

30249090362880 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 30249090362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61919858018304).

30249090362880 is an abundant number, since it is smaller than the sum of its proper divisors (93590625673728).

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

30249090362880 is a wasteful number, since it uses less digits than its factorization.

30249090362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 30249090362880 in words is "thirty trillion, two hundred forty-nine billion, ninety million, three hundred sixty-two thousand, eight hundred eighty".