2736132480 has 128 divisors (see below), whose sum is σ = 9690530400. Its totient is φ = 729630720.

The previous prime is 2736132461. The next prime is 2736132481. The reversal of 2736132480 is 842316372.

It is a happy number.

2736132480 is a `hidden beast` number, since 273 + 61 + 324 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2736132480² = 14972841896221900800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2736132481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61891 + ... + 96450.

Almost surely, 2^2736132480 is an apocalyptic number.

2736132480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2736132480 is an abundant number, since it is smaller than the sum of its proper divisors (6954397920).

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

2736132480 is a wasteful number, since it uses less digits than its factorization.

2736132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158369 (or 158351 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2736132480 is about 52308.0536820096. The cubic root of 2736132480 is about 1398.6607055820.

The spelling of 2736132480 in words is "two billion, seven hundred thirty-six million, one hundred thirty-two thousand, four hundred eighty".