2541942600 has 192 divisors, whose sum is σ = 8129479680. Its totient is φ = 656640000.

The previous prime is 2541942581. The next prime is 2541942643. The reversal of 2541942600 is 62491452.

2541942600 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 super-2 number, since 2×2541942600² = 12922944363389520000, which contains 22 as substring.

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, 4698330 + ... + 4698870.

It is an arithmetic number, because the mean of its divisors is an integer number (42341040).

Almost surely, 2^2541942600 is an apocalyptic number.

2541942600 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 2541942600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064739840).

2541942600 is an abundant number, since it is smaller than the sum of its proper divisors (5587537080).

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

2541942600 is a wasteful number, since it uses less digits than its factorization.

2541942600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 783 counting only the distinct ones).

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

The square root of 2541942600 is about 50417.6814222947. The cubic root of 2541942600 is about 1364.7567358894.

The spelling of 2541942600 in words is "two billion, five hundred forty-one million, nine hundred forty-two thousand, six hundred".