2157067000 has 96 divisors (see below), whose sum is σ = 5548430160. Its totient is φ = 784344000.

The previous prime is 2157066973. The next prime is 2157067001. The reversal of 2157067000 is 7607512.

It is a self number, because there is not a number n which added to its sum of digits gives 2157067000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157067001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112087 + ... + 129913.

Almost surely, 2^2157067000 is an apocalyptic number.

2157067000 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 2157067000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774215080).

2157067000 is an abundant number, since it is smaller than the sum of its proper divisors (3391363160).

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

2157067000 is a wasteful number, since it uses less digits than its factorization.

2157067000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17870 (or 17845 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 2157067000 is about 46444.2353796464. The cubic root of 2157067000 is about 1292.0754603882.

The spelling of 2157067000 in words is "two billion, one hundred fifty-seven million, sixty-seven thousand".