2097319104 has 168 divisors, whose sum is σ = 6700814640. Its totient is φ = 623296512.

The previous prime is 2097319093. The next prime is 2097319177. The reversal of 2097319104 is 4019137902.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180412 + ... + 191684.

Almost surely, 2^2097319104 is an apocalyptic number.

2097319104 is a gapful number since it is divisible by the number (24) 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 2097319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350407320).

2097319104 is an abundant number, since it is smaller than the sum of its proper divisors (4603495536).

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

2097319104 is a wasteful number, since it uses less digits than its factorization.

2097319104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11327 (or 11314 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2097319104 is about 45796.4966345680. The cubic root of 2097319104 is about 1280.0339964929.

It can be divided in two parts, 2097 and 319104, that added together give a triangular number (321201 = T₈₀₁).

The spelling of 2097319104 in words is "two billion, ninety-seven million, three hundred nineteen thousand, one hundred four".