2096785440 has 480 divisors, whose sum is σ = 8114287104. Its totient is φ = 507617280.

The previous prime is 2096785433. The next prime is 2096785441. The reversal of 2096785440 is 445876902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (2096785441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6829767 + ... + 6830073.

Almost surely, 2^2096785440 is an apocalyptic number.

2096785440 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 2096785440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057143552).

2096785440 is an abundant number, since it is smaller than the sum of its proper divisors (6017501664).

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

2096785440 is a wasteful number, since it uses less digits than its factorization.

2096785440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2096785440 is about 45790.6697920002. The cubic root of 2096785440 is about 1279.9254188316.

The spelling of 2096785440 in words is "two billion, ninety-six million, seven hundred eighty-five thousand, four hundred forty".