2264536162240 has 224 divisors, whose sum is σ = 6023298226176. Its totient is φ = 803803607040.

The previous prime is 2264536162237. The next prime is 2264536162261. The reversal of 2264536162240 is 422616354622.

2264536162240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298629489 + ... + 298637071.

It is an arithmetic number, because the mean of its divisors is an integer number (26889724224).

Almost surely, 2^{2264536162240} is an apocalyptic number.

2264536162240 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 2264536162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011649113088).

2264536162240 is an abundant number, since it is smaller than the sum of its proper divisors (3758762063936).

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

2264536162240 is a wasteful number, since it uses less digits than its factorization.

2264536162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9627 (or 9617 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 2264536162240 in words is "two trillion, two hundred sixty-four billion, five hundred thirty-six million, one hundred sixty-two thousand, two hundred forty".