2391742080 has 768 divisors, whose sum is σ = 10603756800. Its totient is φ = 504631296.

The previous prime is 2391742061. The next prime is 2391742141. The reversal of 2391742080 is 802471932.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183980154 + ... + 183980166.

It is an arithmetic number, because the mean of its divisors is an integer number (13806975).

Almost surely, 2^2391742080 is an apocalyptic number.

2391742080 is a gapful number since it is divisible by the number (20) 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 2391742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5301878400).

2391742080 is an abundant number, since it is smaller than the sum of its proper divisors (8212014720).

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

2391742080 is an frugal number, since it uses more digits than its factorization.

2391742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 30 counting only the distinct ones).

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

The square root of 2391742080 is about 48905.4401881836. The cubic root of 2391742080 is about 1337.3285456409.

The spelling of 2391742080 in words is "two billion, three hundred ninety-one million, seven hundred forty-two thousand, eighty".