2263851475920 has 480 divisors, whose sum is σ = 8587598572800. Its totient is φ = 547049935872.

The previous prime is 2263851475889. The next prime is 2263851475927. The reversal of 2263851475920 is 295741583622.

2263851475920 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 8 + 5 + 1 + 47 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263851475927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17871366 + ... + 17997594.

It is an arithmetic number, because the mean of its divisors is an integer number (17890830360).

It is a 1-persistent number, because it is pandigital, but 2⋅2263851475920 = 4527702951840 is not.

Almost surely, 2^{2263851475920} is an apocalyptic number.

2263851475920 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 2263851475920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293799286400).

2263851475920 is an abundant number, since it is smaller than the sum of its proper divisors (6323747096880).

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

2263851475920 is a wasteful number, since it uses less digits than its factorization.

2263851475920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126312 (or 126281 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2263851475920 in words is "two trillion, two hundred sixty-three billion, eight hundred fifty-one million, four hundred seventy-five thousand, nine hundred twenty".