2729444497920 has 1280 divisors, whose sum is σ = 11438262190080. Its totient is φ = 603980955648.

The previous prime is 2729444497873. The next prime is 2729444497931. The reversal of 2729444497920 is 297944449272.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2642249724 + ... + 2642250756.

It is an arithmetic number, because the mean of its divisors is an integer number (8936142336).

Almost surely, 2^{2729444497920} is an apocalyptic number.

2729444497920 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 2729444497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719131095040).

2729444497920 is an abundant number, since it is smaller than the sum of its proper divisors (8708817692160).

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

2729444497920 is a wasteful number, since it uses less digits than its factorization.

2729444497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 2729444497920 in words is "two trillion, seven hundred twenty-nine billion, four hundred forty-four million, four hundred ninety-seven thousand, nine hundred twenty".