2036065248 has 720 divisors, whose sum is σ = 7883767584. Its totient is φ = 510935040.

The previous prime is 2036065247. The next prime is 2036065249. The reversal of 2036065248 is 8425606302.

2036065248 is a `hidden beast` number, since 2 + 0 + 3 + 606 + 5 + 2 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (2036065247) and next prime (2036065249).

It is a super-2 number, since 2×2036065248² = 8291123388226603008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2036065243) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 49660108 + ... + 49660148.

Almost surely, 2^2036065248 is an apocalyptic number.

2036065248 is a gapful number since it is divisible by the number (28) 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 2036065248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941883792).

2036065248 is an abundant number, since it is smaller than the sum of its proper divisors (5847702336).

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

2036065248 is a wasteful number, since it uses less digits than its factorization.

2036065248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

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

The square root of 2036065248 is about 45122.7797016097. The cubic root of 2036065248 is about 1267.4492063256.

The spelling of 2036065248 in words is "two billion, thirty-six million, sixty-five thousand, two hundred forty-eight".