2096519040 has 768 divisors, whose sum is σ = 9394444800. Its totient is φ = 418037760.

The previous prime is 2096519021. The next prime is 2096519041. The reversal of 2096519040 is 409156902.

2096519040 = 6147² + 6148² + ... + 6201².

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

It is a junction number, because it is equal to n+sod(n) for n = 2096518986 and 2096519004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2096519041) by changing a digit.

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, 12861999 + ... + 12862161.

It is an arithmetic number, because the mean of its divisors is an integer number (12232350).

Almost surely, 2^2096519040 is an apocalyptic number.

2096519040 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 2096519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697222400).

2096519040 is an abundant number, since it is smaller than the sum of its proper divisors (7297925760).

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

2096519040 is a wasteful number, since it uses less digits than its factorization.

2096519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2096519040 is about 45787.7608100680. The cubic root of 2096519040 is about 1279.8712110005.

The spelling of 2096519040 in words is "two billion, ninety-six million, five hundred nineteen thousand, forty".