2263941529600 has 135 divisors (see below), whose sum is σ = 5616792757681. Its totient is φ = 905191424000.

The previous prime is 2263941529573. The next prime is 2263941529621. The reversal of 2263941529600 is 69251493622.

The square root of 2263941529600 is 1504640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 815018950656 + 1448922578944 = 902784^2 + 1203712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 962968425 + ... + 962970775.

Almost surely, 2^{2263941529600} is an apocalyptic number.

2263941529600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2263941529600 is the 1504640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263941529600

2263941529600 is an abundant number, since it is smaller than the sum of its proper divisors (3352851228081).

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

2263941529600 is an frugal number, since it uses more digits than its factorization.

2263941529600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

Multiplying 2263941529600 by its sum of digits (49), we get a square (110933134950400 = 10532480²).

The spelling of 2263941529600 in words is "two trillion, two hundred sixty-three billion, nine hundred forty-one million, five hundred twenty-nine thousand, six hundred".