2736457162080 has 192 divisors, whose sum is σ = 8903043072000. Its totient is φ = 705774274560.

The previous prime is 2736457162039. The next prime is 2736457162091. The reversal of 2736457162080 is 802617546372.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26121646 + ... + 26226194.

It is an arithmetic number, because the mean of its divisors is an integer number (46370016000).

Almost surely, 2^{2736457162080} is an apocalyptic number.

2736457162080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2736457162080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451521536000).

2736457162080 is an abundant number, since it is smaller than the sum of its proper divisors (6166585909920).

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

2736457162080 is a wasteful number, since it uses less digits than its factorization.

2736457162080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106357 (or 106349 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 2736457162080 in words is "two trillion, seven hundred thirty-six billion, four hundred fifty-seven million, one hundred sixty-two thousand, eighty".