2734136995320 has 640 divisors, whose sum is σ = 10036688175360. Its totient is φ = 664901222400.

The previous prime is 2734136995319. The next prime is 2734136995379. The reversal of 2734136995320 is 235996314372.

2734136995320 is a `hidden beast` number, since 2 + 7 + 3 + 4 + 13 + 6 + 99 + 532 + 0 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 261459532 + ... + 261469988.

It is an arithmetic number, because the mean of its divisors is an integer number (15682325274).

Almost surely, 2^{2734136995320} is an apocalyptic number.

2734136995320 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 2734136995320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018344087680).

2734136995320 is an abundant number, since it is smaller than the sum of its proper divisors (7302551180040).

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

2734136995320 is a wasteful number, since it uses less digits than its factorization.

2734136995320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10645 (or 10632 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 2734136995320 in words is "two trillion, seven hundred thirty-four billion, one hundred thirty-six million, nine hundred ninety-five thousand, three hundred twenty".