2036749680 has 180 divisors, whose sum is σ = 7956970632. Its totient is φ = 465534720.

The previous prime is 2036749633. The next prime is 2036749697. The reversal of 2036749680 is 869476302.

2036749680 is a `hidden beast` number, since 20 + 3 + 67 + 496 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6415 + ... + 64145.

Almost surely, 2^2036749680 is an apocalyptic number.

2036749680 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 2036749680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978485316).

2036749680 is an abundant number, since it is smaller than the sum of its proper divisors (5920220952).

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

2036749680 is a wasteful number, since it uses less digits than its factorization.

2036749680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57764 (or 57748 counting only the distinct ones).

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

The square root of 2036749680 is about 45130.3631715944. The cubic root of 2036749680 is about 1267.5912098970.

The spelling of 2036749680 in words is "two billion, thirty-six million, seven hundred forty-nine thousand, six hundred eighty".