2263374720 has 192 divisors, whose sum is σ = 7898239440. Its totient is φ = 597196800.

The previous prime is 2263374719. The next prime is 2263374733. The reversal of 2263374720 is 274733622.

2263374720 is a `hidden beast` number, since 2 + 263 + 374 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556695 + ... + 560745.

Almost surely, 2^2263374720 is an apocalyptic number.

2263374720 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 2263374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949119720).

2263374720 is an abundant number, since it is smaller than the sum of its proper divisors (5634864720).

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

2263374720 is a wasteful number, since it uses less digits than its factorization.

2263374720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 2263374720 is about 47574.9379400541. The cubic root of 2263374720 is about 1312.9619902889.

The spelling of 2263374720 in words is "two billion, two hundred sixty-three million, three hundred seventy-four thousand, seven hundred twenty".