2034415656 has 512 divisors, whose sum is σ = 7451136000. Its totient is φ = 499903488.

The previous prime is 2034415609. The next prime is 2034415657. The reversal of 2034415656 is 6565144302.

2034415656 is a `hidden beast` number, since 20 + 34 + 41 + 565 + 6 = 666.

It is a super-2 number, since 2×2034415656² = 8277694122755820672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2034415656.

It is not an unprimeable number, because it can be changed into a prime (2034415657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24510991 + ... + 24511073.

It is an arithmetic number, because the mean of its divisors is an integer number (14553000).

Almost surely, 2^2034415656 is an apocalyptic number.

2034415656 is a gapful number since it is divisible by the number (26) 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 2034415656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725568000).

2034415656 is an abundant number, since it is smaller than the sum of its proper divisors (5416720344).

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

2034415656 is a wasteful number, since it uses less digits than its factorization.

2034415656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2034415656 is about 45104.4970706913. The cubic root of 2034415656 is about 1267.1068238853.

Adding to 2034415656 its reverse (6565144302), we get a palindrome (8599559958).

The spelling of 2034415656 in words is "two billion, thirty-four million, four hundred fifteen thousand, six hundred fifty-six".