2741253120 has 528 divisors, whose sum is σ = 10422996480. Its totient is φ = 663552000.

The previous prime is 2741253037. The next prime is 2741253143. The reversal of 2741253120 is 213521472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27141070 + ... + 27141170.

Almost surely, 2^2741253120 is an apocalyptic number.

2741253120 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 2741253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211498240).

2741253120 is an abundant number, since it is smaller than the sum of its proper divisors (7681743360).

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

2741253120 is a wasteful number, since it uses less digits than its factorization.

2741253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2741253120 is about 52356.9777584612. The cubic root of 2741253120 is about 1399.5326875684.

Adding to 2741253120 its reverse (213521472), we get a palindrome (2954774592).

The spelling of 2741253120 in words is "two billion, seven hundred forty-one million, two hundred fifty-three thousand, one hundred twenty".