2733461292672 has 448 divisors, whose sum is σ = 8986057004160. Its totient is φ = 820956487680.

The previous prime is 2733461292671. The next prime is 2733461292673. The reversal of 2733461292672 is 2762921643372.

It is a happy number.

2733461292672 is a `hidden beast` number, since 2 + 7 + 3 + 346 + 1 + 292 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2733461292671) and next prime (2733461292673).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2733461292671) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 115975033 + ... + 115998599.

Almost surely, 2^{2733461292672} is an apocalyptic number.

2733461292672 is a gapful number since it is divisible by the number (22) 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 2733461292672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493028502080).

2733461292672 is an abundant number, since it is smaller than the sum of its proper divisors (6252595711488).

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

2733461292672 is a wasteful number, since it uses less digits than its factorization.

2733461292672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23723 (or 23696 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 2733461292672 in words is "two trillion, seven hundred thirty-three billion, four hundred sixty-one million, two hundred ninety-two thousand, six hundred seventy-two".