2036784960 has 672 divisors, whose sum is σ = 8881384320. Its totient is φ = 436617216.

The previous prime is 2036784947. The next prime is 2036784983. The reversal of 2036784960 is 694876302.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7196979 + ... + 7197261.

Almost surely, 2^2036784960 is an apocalyptic number.

2036784960 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 2036784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440692160).

2036784960 is an abundant number, since it is smaller than the sum of its proper divisors (6844599360).

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

2036784960 is a wasteful number, since it uses less digits than its factorization.

2036784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2036784960 is about 45130.7540375740. The cubic root of 2036784960 is about 1267.5985288065.

The spelling of 2036784960 in words is "two billion, thirty-six million, seven hundred eighty-four thousand, nine hundred sixty".