2264645000 has 60 divisors (see below), whose sum is σ = 5313959145. Its totient is φ = 904512000.

The previous prime is 2264644997. The next prime is 2264645011. The reversal of 2264645000 is 5464622.

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 8 ways, for example, as 446645956 + 1817999044 = 21134^2 + 42638^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33650.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3364664 + ... + 3365336.

Almost surely, 2^2264645000 is an apocalyptic number.

2264645000 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 2264645000

2264645000 is an abundant number, since it is smaller than the sum of its proper divisors (3049314145).

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

2264645000 is an frugal number, since it uses more digits than its factorization.

2264645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2264645000 is about 47588.2863738546. The cubic root of 2264645000 is about 1313.2075701048.

The spelling of 2264645000 in words is "two billion, two hundred sixty-four million, six hundred forty-five thousand".