2142764100 has 81 divisors (see below), whose sum is σ = 6720730653. Its totient is φ = 571033440.

The previous prime is 2142764081. The next prime is 2142764101. The reversal of 2142764100 is 14672412.

The square root of 2142764100 is 46290.

It is a perfect power (a square), and thus also a powerful number.

2142764100 is a `hidden beast` number, since 2 + 14 + 2 + 7 + 641 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 771395076 + 1371369024 = 27774^2 + 37032^2 .

It is not an unprimeable number, because it can be changed into a prime (2142764101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1387929 + ... + 1389471.

Almost surely, 2^2142764100 is an apocalyptic number.

2142764100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2142764100 is the 46290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142764100

2142764100 is an abundant number, since it is smaller than the sum of its proper divisors (4577966553).

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

2142764100 is a wasteful number, since it uses less digits than its factorization.

2142764100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The cubic root of 2142764100 is about 1289.2133296349.

The spelling of 2142764100 in words is "two billion, one hundred forty-two million, seven hundred sixty-four thousand, one hundred".