2036246400 has 288 divisors, whose sum is σ = 7695043200. Its totient is φ = 510935040.

The previous prime is 2036246389. The next prime is 2036246423. The reversal of 2036246400 is 46426302.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 487521 + ... + 491679.

It is an arithmetic number, because the mean of its divisors is an integer number (26718900).

Almost surely, 2^2036246400 is an apocalyptic number.

2036246400 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 2036246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847521600).

2036246400 is an abundant number, since it is smaller than the sum of its proper divisors (5658796800).

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

2036246400 is a wasteful number, since it uses less digits than its factorization.

2036246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2036246400 is about 45124.7869801066. The cubic root of 2036246400 is about 1267.4867942090.

The spelling of 2036246400 in words is "two billion, thirty-six million, two hundred forty-six thousand, four hundred".