2242356512 has 54 divisors (see below), whose sum is σ = 4858839657. Its totient is φ = 1017913600.

The previous prime is 2242356509. The next prime is 2242356527. The reversal of 2242356512 is 2156532422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1235944336 + 1006412176 = 35156^2 + 31724^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33484.

It is a super-2 number, since 2×2242356512² = 10056325453817612288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2946212 + ... + 2946972.

Almost surely, 2^2242356512 is an apocalyptic number.

2242356512 is a gapful number since it is divisible by the number (22) 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 2242356512

2242356512 is an abundant number, since it is smaller than the sum of its proper divisors (2616483145).

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

2242356512 is an frugal number, since it uses more digits than its factorization.

2242356512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 774 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 2242356512 is about 47353.5269225007. The cubic root of 2242356512 is about 1308.8851910700.

Multiplying 2242356512 by its sum of digits (32), we get a square (71755408384 = 267872²).

2242356512 divided by its sum of digits (32) gives a square (70073641 = 8371²).

Multiplying 2242356512 by its product of digits (28800), we get a square (64579867545600 = 8036160²).

Adding to 2242356512 its reverse (2156532422), we get a palindrome (4398888934).

The spelling of 2242356512 in words is "two billion, two hundred forty-two million, three hundred fifty-six thousand, five hundred twelve".