2541429600 has 144 divisors (see below), whose sum is σ = 8539453440. Its totient is φ = 655833600.

The previous prime is 2541429589. The next prime is 2541429613. The reversal of 2541429600 is 69241452.

2541429600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57321 + ... + 91479.

It is an arithmetic number, because the mean of its divisors is an integer number (59301760).

Almost surely, 2^2541429600 is an apocalyptic number.

2541429600 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 2541429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269726720).

2541429600 is an abundant number, since it is smaller than the sum of its proper divisors (5998023840).

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

2541429600 is a wasteful number, since it uses less digits than its factorization.

2541429600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34213 (or 34200 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2541429600 is about 50412.5936646787. The cubic root of 2541429600 is about 1364.6649206364.

The spelling of 2541429600 in words is "two billion, five hundred forty-one million, four hundred twenty-nine thousand, six hundred".