2741379600 has 120 divisors (see below), whose sum is σ = 9064951552. Its totient is φ = 707443200.

The previous prime is 2741379497. The next prime is 2741379601. The reversal of 2741379600 is 69731472.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2741379600² = 15030324222592320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2741379601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354 + ... + 74046.

Almost surely, 2^2741379600 is an apocalyptic number.

2741379600 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 2741379600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532475776).

2741379600 is an abundant number, since it is smaller than the sum of its proper divisors (6323571952).

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

2741379600 is a wasteful number, since it uses less digits than its factorization.

2741379600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73745 (or 73734 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 2741379600 is about 52358.1856064551. The cubic root of 2741379600 is about 1399.5542118086.

The spelling of 2741379600 in words is "two billion, seven hundred forty-one million, three hundred seventy-nine thousand, six hundred".