2639942544100 has 81 divisors (see below), whose sum is σ = 5854848985083. Its totient is φ = 1033210460160.

The previous prime is 2639942544073. The next prime is 2639942544103. The reversal of 2639942544100 is 14452499362.

The square root of 2639942544100 is 1624790.

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

2639942544100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1376872253604 + 1263070290496 = 1173402^2 + 1123864^2 .

It is a super-2 number, since 2×2639942544100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2639942544103) 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, 763649572 + ... + 763653028.

Almost surely, 2^{2639942544100} is an apocalyptic number.

2639942544100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2639942544100 is the 1624790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2639942544100

2639942544100 is an abundant number, since it is smaller than the sum of its proper divisors (3214906440983).

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

2639942544100 is an frugal number, since it uses more digits than its factorization.

2639942544100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

Multiplying 2639942544100 by its sum of digits (49), we get a square (129357184660900 = 11373530²).

The spelling of 2639942544100 in words is "two trillion, six hundred thirty-nine billion, nine hundred forty-two million, five hundred forty-four thousand, one hundred".