2264510432064 has 112 divisors (see below), whose sum is σ = 6055423731648. Its totient is φ = 746809663488.

The previous prime is 2264510431961. The next prime is 2264510432083. The reversal of 2264510432064 is 4602340154622.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11990979 + ... + 12178365.

Almost surely, 2^{2264510432064} is an apocalyptic number.

2264510432064 is a gapful number since it is divisible by the number (24) 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 2264510432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027711865824).

2264510432064 is an abundant number, since it is smaller than the sum of its proper divisors (3790913299584).

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

2264510432064 is a wasteful number, since it uses less digits than its factorization.

2264510432064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188072 (or 188062 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

Adding to 2264510432064 its reverse (4602340154622), we get a palindrome (6866850586686).

The spelling of 2264510432064 in words is "two trillion, two hundred sixty-four billion, five hundred ten million, four hundred thirty-two thousand, sixty-four".