2069687100 has 576 divisors, whose sum is σ = 7559516160. Its totient is φ = 431308800.

The previous prime is 2069687089. The next prime is 2069687101. The reversal of 2069687100 is 17869602.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2069687101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39050674 + ... + 39050726.

It is an arithmetic number, because the mean of its divisors is an integer number (13124160).

Almost surely, 2^2069687100 is an apocalyptic number.

2069687100 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 2069687100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779758080).

2069687100 is an abundant number, since it is smaller than the sum of its proper divisors (5489829060).

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

2069687100 is a wasteful number, since it uses less digits than its factorization.

2069687100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2069687100 is about 45493.8138651839. The cubic root of 2069687100 is about 1274.3876798358.

The spelling of 2069687100 in words is "two billion, sixty-nine million, six hundred eighty-seven thousand, one hundred".