2736098561 has 48 divisors (see below), whose sum is σ = 3397632000. Its totient is φ = 2156847264.

The previous prime is 2736098543. The next prime is 2736098579. The reversal of 2736098561 is 1658906372.

It is an interprime number because it is at equal distance from previous prime (2736098543) and next prime (2736098579).

It is not a de Polignac number, because 2736098561 - 2¹⁴ = 2736082177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2736098501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13749140 + ... + 13749338.

It is an arithmetic number, because the mean of its divisors is an integer number (70784000).

Almost surely, 2^2736098561 is an apocalyptic number.

It is an amenable number.

2736098561 is a deficient number, since it is larger than the sum of its proper divisors (661533439).

2736098561 is a wasteful number, since it uses less digits than its factorization.

2736098561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 2736098561 is about 52307.7294575094. The cubic root of 2736098561 is about 1398.6549259680.

The spelling of 2736098561 in words is "two billion, seven hundred thirty-six million, ninety-eight thousand, five hundred sixty-one".