2666329752100 has 81 divisors (see below), whose sum is σ = 6730866646833. Its totient is φ = 914131011360.

The previous prime is 2666329752061. The next prime is 2666329752103. The reversal of 2666329752100 is 12579236662.

The square root of 2666329752100 is 1632890.

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

It can be written as a sum of positive squares in only one way, i.e., 959878710756 + 1706451041344 = 979734^2 + 1306312^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2666329752103) 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, 114290637 + ... + 114313963.

Almost surely, 2^{2666329752100} is an apocalyptic number.

2666329752100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2666329752100 is the 1632890-th square number.

It is an amenable number.

2666329752100 is an abundant number, since it is smaller than the sum of its proper divisors (4064536894733).

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

2666329752100 is an frugal number, since it uses more digits than its factorization.

2666329752100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46682 (or 23341 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

Multiplying 2666329752100 by its sum of digits (49), we get a square (130650157852900 = 11430230²).

2666329752100 divided by its sum of digits (49) gives a square (54414892900 = 233270²).

The spelling of 2666329752100 in words is "two trillion, six hundred sixty-six billion, three hundred twenty-nine million, seven hundred fifty-two thousand, one hundred".