2261336243076 has 135 divisors (see below), whose sum is σ = 6240510224949. Its totient is φ = 713943774432.

The previous prime is 2261336242993. The next prime is 2261336243081. The reversal of 2261336243076 is 6703426331622.

The square root of 2261336243076 is 1503774.

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

2261336243076 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 336 + 2 + 4 + 307 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1084493132100 + 1176843110976 = 1041390^2 + 1084824^2 .

It is a super-2 number, since 2×2261336243076² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 514288510 + ... + 514292906.

Almost surely, 2^{2261336243076} is an apocalyptic number.

2261336243076 is the 1503774-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261336243076

2261336243076 is an abundant number, since it is smaller than the sum of its proper divisors (3979173981873).

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

2261336243076 is an frugal number, since it uses more digits than its factorization.

2261336243076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8848 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 2261336243076 in words is "two trillion, two hundred sixty-one billion, three hundred thirty-six million, two hundred forty-three thousand, seventy-six".