2026415664 has 320 divisors, whose sum is σ = 7538406400. Its totient is φ = 506124288.

The previous prime is 2026415663. The next prime is 2026415681. The reversal of 2026415664 is 4665146202.

2026415664 is a `hidden beast` number, since 2 + 0 + 2 + 641 + 5 + 6 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2026415663) 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 63 ways as a sum of consecutive naturals, for example, 745572 + ... + 748284.

It is an arithmetic number, because the mean of its divisors is an integer number (23557520).

Almost surely, 2^2026415664 is an apocalyptic number.

2026415664 is a gapful number since it is divisible by the number (24) 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 2026415664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769203200).

2026415664 is an abundant number, since it is smaller than the sum of its proper divisors (5511990736).

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

2026415664 is a wasteful number, since it uses less digits than its factorization.

2026415664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2026415664 is about 45015.7268518459. The cubic root of 2026415664 is about 1265.4437483540.

The spelling of 2026415664 in words is "two billion, twenty-six million, four hundred fifteen thousand, six hundred sixty-four".