2096138217600 has 2304 divisors, whose sum is σ = 9248258073600. Its totient is φ = 458945740800.

The previous prime is 2096138217553. The next prime is 2096138217647. The reversal of 2096138217600 is 67128316902.

2096138217600 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 1 + 38 + 2 + 1 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (2096138217553) and next prime (2096138217647).

It is a super-3 number, since 3×2096138217600³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19590076747 + ... + 19590076853.

It is an arithmetic number, because the mean of its divisors is an integer number (4014000900).

Almost surely, 2^{2096138217600} is an apocalyptic number.

2096138217600 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 2096138217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624129036800).

2096138217600 is an abundant number, since it is smaller than the sum of its proper divisors (7152119856000).

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

2096138217600 is a wasteful number, since it uses less digits than its factorization.

2096138217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2096138217600 in words is "two trillion, ninety-six billion, one hundred thirty-eight million, two hundred seventeen thousand, six hundred".