2264213952 has 1008 divisors, whose sum is σ = 9704892960. Its totient is φ = 510935040.

The previous prime is 2264213923. The next prime is 2264213957. The reversal of 2264213952 is 2593124622.

2264213952 is a `hidden beast` number, since 2 + 2 + 642 + 1 + 3 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264213957) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133189048 + ... + 133189064.

It is an arithmetic number, because the mean of its divisors is an integer number (9627870).

Almost surely, 2^2264213952 is an apocalyptic number.

2264213952 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 2264213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852446480).

2264213952 is an abundant number, since it is smaller than the sum of its proper divisors (7440679008).

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

2264213952 is a wasteful number, since it uses less digits than its factorization.

2264213952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2264213952 is about 47583.7572287015. The cubic root of 2264213952 is about 1313.1242470505.

The spelling of 2264213952 in words is "two billion, two hundred sixty-four million, two hundred thirteen thousand, nine hundred fifty-two".