2101700160 has 504 divisors, whose sum is σ = 8598368376. Its totient is φ = 469647360.

The previous prime is 2101700137. The next prime is 2101700171. The reversal of 2101700160 is 610071012.

It can be written as a sum of positive squares in 4 ways, for example, as 529736256 + 1571963904 = 23016^2 + 39648^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7479220 + ... + 7479500.

Almost surely, 2^2101700160 is an apocalyptic number.

2101700160 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 2101700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299184188).

2101700160 is an abundant number, since it is smaller than the sum of its proper divisors (6496668216).

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

2101700160 is a wasteful number, since it uses less digits than its factorization.

2101700160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 2101700160 is about 45844.3034629167. The cubic root of 2101700160 is about 1280.9246573980.

Adding to 2101700160 its reverse (610071012), we get a palindrome (2711771172).

The spelling of 2101700160 in words is "two billion, one hundred one million, seven hundred thousand, one hundred sixty".