2261444516100 has 2025 divisors, whose sum is σ = 9713127788133. Its totient is φ = 454752144000.

The previous prime is 2261444516041. The next prime is 2261444516101. The reversal of 2261444516100 is 16154441622.

The square root of 2261444516100 is 1503810.

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

2261444516100 is a `hidden beast` number, since 2 + 2 + 6 + 144 + 451 + 61 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 814120025796 + 1447324490304 = 902286^2 + 1203048^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

It is a super-2 number, since 2×2261444516100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2261444516101) by changing a digit.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 72949823085 + ... + 72949823115.

Almost surely, 2^{2261444516100} is an apocalyptic number.

2261444516100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2261444516100 is the 1503810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261444516100

2261444516100 is an abundant number, since it is smaller than the sum of its proper divisors (7451683272033).

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

2261444516100 is a wasteful number, since it uses less digits than its factorization.

2261444516100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 2261444516100 by its sum of digits (36), we get a square (81412002579600 = 9022860²).

2261444516100 divided by its sum of digits (36) gives a square (62817903225 = 250635²).

Adding to 2261444516100 its reverse (16154441622), we get a palindrome (2277598957722).

The spelling of 2261444516100 in words is "two trillion, two hundred sixty-one billion, four hundred forty-four million, five hundred sixteen thousand, one hundred".