2263061350440 has 192 divisors, whose sum is σ = 8024281536960. Its totient is φ = 548573045760.

The previous prime is 2263061350409. The next prime is 2263061350463. The reversal of 2263061350440 is 440531603622.

2263061350440 is a `hidden beast` number, since 2 + 2 + 6 + 30 + 613 + 5 + 0 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2263061350395 and 2263061350404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70578892 + ... + 70610948.

It is an arithmetic number, because the mean of its divisors is an integer number (41793133005).

Almost surely, 2^{2263061350440} is an apocalyptic number.

2263061350440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263061350440 is an abundant number, since it is smaller than the sum of its proper divisors (5761220186520).

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

2263061350440 is a wasteful number, since it uses less digits than its factorization.

2263061350440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49912 (or 49905 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 2263061350440 in words is "two trillion, two hundred sixty-three billion, sixty-one million, three hundred fifty thousand, four hundred forty".