2734022484000 has 960 divisors, whose sum is σ = 10726666030080. Its totient is φ = 679626547200.

The previous prime is 2734022483999. The next prime is 2734022484001. The reversal of 2734022484000 is 4842204372.

2734022484000 is a `hidden beast` number, since 2 + 7 + 3 + 4 + 0 + 2 + 248 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2734022483999) and next prime (2734022484001).

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

It is not an unprimeable number, because it can be changed into a prime (2734022484001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 589353681 + ... + 589358319.

It is an arithmetic number, because the mean of its divisors is an integer number (11173610448).

Almost surely, 2^{2734022484000} is an apocalyptic number.

2734022484000 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 2734022484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5363333015040).

2734022484000 is an abundant number, since it is smaller than the sum of its proper divisors (7992643546080).

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

2734022484000 is a wasteful number, since it uses less digits than its factorization.

2734022484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

Adding to 2734022484000 its reverse (4842204372), we get a palindrome (2738864688372).

The spelling of 2734022484000 in words is "two trillion, seven hundred thirty-four billion, twenty-two million, four hundred eighty-four thousand".