305742306240 has 896 divisors, whose sum is σ = 1278954455040. Its totient is φ = 67284172800.

The previous prime is 305742306239. The next prime is 305742306241. The reversal of 305742306240 is 42603247503.

305742306240 is a `hidden beast` number, since 3 + 0 + 5 + 7 + 4 + 23 + 0 + 624 + 0 = 666.

305742306240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (305742306239) and next prime (305742306241).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 305742306195 and 305742306204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305742306241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 586837180 + ... + 586837700.

Almost surely, 2^305742306240 is an apocalyptic number.

305742306240 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 305742306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639477227520).

305742306240 is an abundant number, since it is smaller than the sum of its proper divisors (973212148800).

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

305742306240 is a wasteful number, since it uses less digits than its factorization.

305742306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 305742306240 in words is "three hundred five billion, seven hundred forty-two million, three hundred six thousand, two hundred forty".