2748219116400 has 480 divisors, whose sum is σ = 10009061016000. Its totient is φ = 715980902400.

The previous prime is 2748219116399. The next prime is 2748219116407. The reversal of 2748219116400 is 46119128472.

2748219116400 is a `hidden beast` number, since 2 + 7 + 48 + 2 + 191 + 16 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2748219116407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98147202 + ... + 98175198.

It is an arithmetic number, because the mean of its divisors is an integer number (20852210450).

Almost surely, 2^{2748219116400} is an apocalyptic number.

2748219116400 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 2748219116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004530508000).

2748219116400 is an abundant number, since it is smaller than the sum of its proper divisors (7260841899600).

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

2748219116400 is a wasteful number, since it uses less digits than its factorization.

2748219116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28234 (or 28217 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2748219116400 in words is "two trillion, seven hundred forty-eight billion, two hundred nineteen million, one hundred sixteen thousand, four hundred".