2036754720 has 960 divisors, whose sum is σ = 9712555776. Its totient is φ = 388177920.

The previous prime is 2036754661. The next prime is 2036754721. The reversal of 2036754720 is 274576302.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (2036754721) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12972882 + ... + 12973038.

Almost surely, 2^2036754720 is an apocalyptic number.

2036754720 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 2036754720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856277888).

2036754720 is an abundant number, since it is smaller than the sum of its proper divisors (7675801056).

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

2036754720 is a wasteful number, since it uses less digits than its factorization.

2036754720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2036754720 is about 45130.4190097987. The cubic root of 2036754720 is about 1267.5922554607.

The spelling of 2036754720 in words is "two billion, thirty-six million, seven hundred fifty-four thousand, seven hundred twenty".