2741960894400 has 2016 divisors, whose sum is σ = 12864990962880. Its totient is φ = 562678824960.

The previous prime is 2741960894399. The next prime is 2741960894411. The reversal of 2741960894400 is 44980691472.

2741960894400 is a `hidden beast` number, since 2 + 7 + 4 + 196 + 0 + 8 + 9 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1018179454 + ... + 1018182146.

It is an arithmetic number, because the mean of its divisors is an integer number (6381443930).

Almost surely, 2^{2741960894400} is an apocalyptic number.

2741960894400 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 2741960894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6432495481440).

2741960894400 is an abundant number, since it is smaller than the sum of its proper divisors (10123030068480).

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

2741960894400 is a wasteful number, since it uses less digits than its factorization.

2741960894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2741960894400 in words is "two trillion, seven hundred forty-one billion, nine hundred sixty million, eight hundred ninety-four thousand, four hundred".