2264728632520 has 128 divisors (see below), whose sum is σ = 5367241323360. Its totient is φ = 858909450240.

The previous prime is 2264728632497. The next prime is 2264728632527. The reversal of 2264728632520 is 252368274622.

2264728632520 = T₃₄₉₈₆₄ + T₃₄₉₈₆₅ + ... + T₃₄₉₉₀₀.

It can be written as a sum of positive squares in 16 ways, for example, as 1154769458404 + 1109959174116 = 1074602^2 + 1053546^2 .

It is not an unprimeable number, because it can be changed into a prime (2264728632527) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 53195082 + ... + 53237638.

Almost surely, 2^{2264728632520} is an apocalyptic number.

2264728632520 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 2264728632520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683620661680).

2264728632520 is an abundant number, since it is smaller than the sum of its proper divisors (3102512690840).

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

2264728632520 is a wasteful number, since it uses less digits than its factorization.

2264728632520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43523 (or 43519 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 49.

The spelling of 2264728632520 in words is "two trillion, two hundred sixty-four billion, seven hundred twenty-eight million, six hundred thirty-two thousand, five hundred twenty".