2736145321362 has 128 divisors (see below), whose sum is σ = 6720342681600. Its totient is φ = 821373696000.

The previous prime is 2736145321339. The next prime is 2736145321373. The reversal of 2736145321362 is 2631235416372.

It is a happy number.

2736145321362 is a `hidden beast` number, since 2 + 7 + 3 + 61 + 453 + 2 + 136 + 2 = 666.

It is a super-2 number, since 2×2736145321362² (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 63 ways as a sum of consecutive naturals, for example, 1992612 + ... + 3072912.

It is an arithmetic number, because the mean of its divisors is an integer number (52502677200).

Almost surely, 2^{2736145321362} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2736145321362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360171340800).

2736145321362 is an abundant number, since it is smaller than the sum of its proper divisors (3984197360238).

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

2736145321362 is a wasteful number, since it uses less digits than its factorization.

2736145321362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080449 (or 1080443 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 2736145321362 in words is "two trillion, seven hundred thirty-six billion, one hundred forty-five million, three hundred twenty-one thousand, three hundred sixty-two".