2262713040 has 240 divisors, whose sum is σ = 9141974400. Its totient is φ = 489950208.

The previous prime is 2262712997. The next prime is 2262713099. The reversal of 2262713040 is 403172622.

2262713040 is a `hidden beast` number, since 2 + 2 + 627 + 1 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 2262712995 and 2262713013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83946 + ... + 107574.

It is an arithmetic number, because the mean of its divisors is an integer number (38091560).

Almost surely, 2^2262713040 is an apocalyptic number.

2262713040 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 2262713040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570987200).

2262713040 is an abundant number, since it is smaller than the sum of its proper divisors (6879261360).

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

2262713040 is a wasteful number, since it uses less digits than its factorization.

2262713040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23674 (or 23665 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2262713040 is about 47567.9833501484. The cubic root of 2262713040 is about 1312.8340330761.

Adding to 2262713040 its reverse (403172622), we get a palindrome (2665885662).

The spelling of 2262713040 in words is "two billion, two hundred sixty-two million, seven hundred thirteen thousand, forty".