2120146900 has 72 divisors (see below), whose sum is σ = 4918060224. Its totient is φ = 791366400.

The previous prime is 2120146871. The next prime is 2120146907. The reversal of 2120146900 is 96410212.

It is a super-2 number, since 2×2120146900² = 8990045755159220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120146907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83059 + ... + 105541.

It is an arithmetic number, because the mean of its divisors is an integer number (68306392).

Almost surely, 2^2120146900 is an apocalyptic number.

2120146900 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 2120146900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459030112).

2120146900 is an abundant number, since it is smaller than the sum of its proper divisors (2797913324).

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

2120146900 is a wasteful number, since it uses less digits than its factorization.

2120146900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22561 (or 22554 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2120146900 is about 46045.0529373135. The cubic root of 2120146900 is about 1284.6613287867.

The spelling of 2120146900 in words is "two billion, one hundred twenty million, one hundred forty-six thousand, nine hundred".