2262414464 has 64 divisors (see below), whose sum is σ = 4580452800. Its totient is φ = 1112970240.

The previous prime is 2262414463. The next prime is 2262414499. The reversal of 2262414464 is 4644142622.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2262414463) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2329499 + ... + 2330469.

It is an arithmetic number, because the mean of its divisors is an integer number (71569575).

Almost surely, 2^2262414464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290226400).

2262414464 is an abundant number, since it is smaller than the sum of its proper divisors (2318038336).

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

2262414464 is a wasteful number, since it uses less digits than its factorization.

2262414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1249 counting only the distinct ones).

The product of its digits is 73728, while the sum is 35.

The square root of 2262414464 is about 47564.8448331328. The cubic root of 2262414464 is about 1312.7762855890.

The spelling of 2262414464 in words is "two billion, two hundred sixty-two million, four hundred fourteen thousand, four hundred sixty-four".