2234426868960 has 576 divisors, whose sum is σ = 8342247158784. Its totient is φ = 499372093440.

The previous prime is 2234426868959. The next prime is 2234426868977. The reversal of 2234426868960 is 698686244322.

It is a super-2 number, since 2×2234426868960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2234426868894 and 2234426868903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 832807779 + ... + 832810461.

It is an arithmetic number, because the mean of its divisors is an integer number (14483067984).

Almost surely, 2^{2234426868960} is an apocalyptic number.

2234426868960 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 2234426868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171123579392).

2234426868960 is an abundant number, since it is smaller than the sum of its proper divisors (6107820289824).

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

2234426868960 is a wasteful number, since it uses less digits than its factorization.

2234426868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 60.

The spelling of 2234426868960 in words is "two trillion, two hundred thirty-four billion, four hundred twenty-six million, eight hundred sixty-eight thousand, nine hundred sixty".