2234292611040 has 1152 divisors, whose sum is σ = 9549759098880. Its totient is φ = 464065265664.

The previous prime is 2234292611017. The next prime is 2234292611087. The reversal of 2234292611040 is 401162924322.

It is a happy number.

2234292611040 is a `hidden beast` number, since 2 + 2 + 34 + 2 + 9 + 2 + 611 + 0 + 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 = 2234292610986 and 2234292611004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 655793017 + ... + 655796423.

It is an arithmetic number, because the mean of its divisors is an integer number (8289721440).

Almost surely, 2^{2234292611040} is an apocalyptic number.

2234292611040 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 2234292611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774879549440).

2234292611040 is an abundant number, since it is smaller than the sum of its proper divisors (7315466487840).

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

2234292611040 is a wasteful number, since it uses less digits than its factorization.

2234292611040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2234292611040 in words is "two trillion, two hundred thirty-four billion, two hundred ninety-two million, six hundred eleven thousand, forty".