2729110119120 has 1680 divisors, whose sum is σ = 12785349417408. Its totient is φ = 533625200640.

The previous prime is 2729110119107. The next prime is 2729110119143. The reversal of 2729110119120 is 219110119272.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 534383607 + ... + 534388713.

Almost surely, 2^{2729110119120} is an apocalyptic number.

2729110119120 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 2729110119120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6392674708704).

2729110119120 is an abundant number, since it is smaller than the sum of its proper divisors (10056239298288).

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

2729110119120 is a wasteful number, since it uses less digits than its factorization.

2729110119120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5180 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The spelling of 2729110119120 in words is "two trillion, seven hundred twenty-nine billion, one hundred ten million, one hundred nineteen thousand, one hundred twenty".