2233552464 has 240 divisors, whose sum is σ = 7442023680. Its totient is φ = 616412160.

The previous prime is 2233552427. The next prime is 2233552487. The reversal of 2233552464 is 4642553322.

2233552464 is a `hidden beast` number, since 223 + 355 + 24 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1626082 + ... + 1627454.

It is an arithmetic number, because the mean of its divisors is an integer number (31008432).

Almost surely, 2^2233552464 is an apocalyptic number.

2233552464 is a gapful number since it is divisible by the number (24) 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 2233552464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721011840).

2233552464 is an abundant number, since it is smaller than the sum of its proper divisors (5208471216).

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

2233552464 is a wasteful number, since it uses less digits than its factorization.

2233552464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1481 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 2233552464 is about 47260.4746484840. The cubic root of 2233552464 is about 1307.1699416100.

The spelling of 2233552464 in words is "two billion, two hundred thirty-three million, five hundred fifty-two thousand, four hundred sixty-four".