2293742880 has 768 divisors, whose sum is σ = 9754214400. Its totient is φ = 496005120.

The previous prime is 2293742879. The next prime is 2293742881. The reversal of 2293742880 is 882473922.

It is an interprime number because it is at equal distance from previous prime (2293742879) and next prime (2293742881).

It is a super-2 number, since 2×2293742880² = 10522512799101388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2293742881) 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, 29034681 + ... + 29034759.

It is an arithmetic number, because the mean of its divisors is an integer number (12700800).

Almost surely, 2^2293742880 is an apocalyptic number.

2293742880 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 2293742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877107200).

2293742880 is an abundant number, since it is smaller than the sum of its proper divisors (7460471520).

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

2293742880 is a wasteful number, since it uses less digits than its factorization.

2293742880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2293742880 is about 47893.0358194174. The cubic root of 2293742880 is about 1318.8080148478.

The spelling of 2293742880 in words is "two billion, two hundred ninety-three million, seven hundred forty-two thousand, eight hundred eighty".