2262263135300 has 144 divisors (see below), whose sum is σ = 5870766746880. Its totient is φ = 740430512640.

The previous prime is 2262263135287. The next prime is 2262263135303. The reversal of 2262263135300 is 35313622622.

2262263135300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2262263135300² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (2262263135303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548681 + ... + 2196719.

It is an arithmetic number, because the mean of its divisors is an integer number (40769213520).

Almost surely, 2^{2262263135300} is an apocalyptic number.

2262263135300 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 2262263135300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935383373440).

2262263135300 is an abundant number, since it is smaller than the sum of its proper divisors (3608503611580).

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

2262263135300 is a wasteful number, since it uses less digits than its factorization.

2262263135300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648150 (or 1648143 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

Adding to 2262263135300 its reverse (35313622622), we get a palindrome (2297576757922).

The spelling of 2262263135300 in words is "two trillion, two hundred sixty-two billion, two hundred sixty-three million, one hundred thirty-five thousand, three hundred".