2741125205070 has 192 divisors, whose sum is σ = 8180435128320. Its totient is φ = 623827298304.

The previous prime is 2741125205059. The next prime is 2741125205233. The reversal of 2741125205070 is 705025211472.

2741125205070 is a `hidden beast` number, since 2 + 7 + 4 + 1 + 12 + 520 + 50 + 70 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144923934 + ... + 144942846.

It is an arithmetic number, because the mean of its divisors is an integer number (42606432960).

Almost surely, 2^{2741125205070} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2741125205070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090217564160).

2741125205070 is an abundant number, since it is smaller than the sum of its proper divisors (5439309923250).

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

2741125205070 is a wasteful number, since it uses less digits than its factorization.

2741125205070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19919 (or 19916 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 2741125205070 in words is "two trillion, seven hundred forty-one billion, one hundred twenty-five million, two hundred five thousand, seventy".