2263261500 has 480 divisors, whose sum is σ = 7991343360. Its totient is φ = 556416000.

The previous prime is 2263261499. The next prime is 2263261543. The reversal of 2263261500 is 51623622.

2263261500 is a `hidden beast` number, since 22 + 632 + 6 + 1 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48154477 + ... + 48154523.

It is an arithmetic number, because the mean of its divisors is an integer number (16648632).

Almost surely, 2^2263261500 is an apocalyptic number.

2263261500 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 2263261500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995671680).

2263261500 is an abundant number, since it is smaller than the sum of its proper divisors (5728081860).

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

2263261500 is a wasteful number, since it uses less digits than its factorization.

2263261500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2263261500 is about 47573.7480129535. The cubic root of 2263261500 is about 1312.9400973115.

The spelling of 2263261500 in words is "two billion, two hundred sixty-three million, two hundred sixty-one thousand, five hundred".