2026953600 has 576 divisors, whose sum is σ = 8074483200. Its totient is φ = 445132800.

The previous prime is 2026953559. The next prime is 2026953601. The reversal of 2026953600 is 63596202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2026953601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14582331 + ... + 14582469.

It is an arithmetic number, because the mean of its divisors is an integer number (14018200).

Almost surely, 2^2026953600 is an apocalyptic number.

2026953600 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 2026953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037241600).

2026953600 is an abundant number, since it is smaller than the sum of its proper divisors (6047529600).

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

2026953600 is a wasteful number, since it uses less digits than its factorization.

2026953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 2026953600 is about 45021.7014338641. The cubic root of 2026953600 is about 1265.5557141159. Note that the first 3 decimals are identical.

The spelling of 2026953600 in words is "two billion, twenty-six million, nine hundred fifty-three thousand, six hundred".