2263451904 has 432 divisors, whose sum is σ = 8025071040. Its totient is φ = 627056640.

The previous prime is 2263451899. The next prime is 2263451917. The reversal of 2263451904 is 4091543622.

It is a happy number.

2263451904 is a `hidden beast` number, since 2 + 2 + 634 + 5 + 19 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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, 13886127 + ... + 13886289.

Almost surely, 2^2263451904 is an apocalyptic number.

2263451904 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 2263451904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012535520).

2263451904 is an abundant number, since it is smaller than the sum of its proper divisors (5761619136).

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

2263451904 is a wasteful number, since it uses less digits than its factorization.

2263451904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 216 counting only the distinct ones).

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

The square root of 2263451904 is about 47575.7491165405. The cubic root of 2263451904 is about 1312.9769146856.

The spelling of 2263451904 in words is "two billion, two hundred sixty-three million, four hundred fifty-one thousand, nine hundred four".