2734387634160 has 640 divisors, whose sum is σ = 12202052352000. Its totient is φ = 546560483328.

The previous prime is 2734387634117. The next prime is 2734387634197. The reversal of 2734387634160 is 614367834372.

2734387634160 is a `hidden beast` number, since 2 + 7 + 343 + 87 + 63 + 4 + 160 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2734387634097 and 2734387634106.

It is a congruent number.

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, 3368556 + ... + 4100724.

It is an arithmetic number, because the mean of its divisors is an integer number (19065706800).

Almost surely, 2^{2734387634160} is an apocalyptic number.

2734387634160 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 2734387634160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101026176000).

2734387634160 is an abundant number, since it is smaller than the sum of its proper divisors (9467664717840).

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

2734387634160 is a wasteful number, since it uses less digits than its factorization.

2734387634160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732230 (or 732218 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 2734387634160 in words is "two trillion, seven hundred thirty-four billion, three hundred eighty-seven million, six hundred thirty-four thousand, one hundred sixty".