2293424640 has 720 divisors, whose sum is σ = 9345473280. Its totient is φ = 517570560.

The previous prime is 2293424629. The next prime is 2293424681. The reversal of 2293424640 is 464243922.

2293424640 is a `hidden beast` number, since 2 + 2 + 9 + 3 + 4 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 2293424595 and 2293424604.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73981425 + ... + 73981455.

It is an arithmetic number, because the mean of its divisors is an integer number (12979824).

Almost surely, 2^2293424640 is an apocalyptic number.

2293424640 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 2293424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672736640).

2293424640 is an abundant number, since it is smaller than the sum of its proper divisors (7052048640).

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

2293424640 is a wasteful number, since it uses less digits than its factorization.

2293424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2293424640 is about 47889.7133004573. The cubic root of 2293424640 is about 1318.7470203807.

It can be divided in two parts, 22934 and 24640, that added together give a palindrome (47574).

The spelling of 2293424640 in words is "two billion, two hundred ninety-three million, four hundred twenty-four thousand, six hundred forty".