2541941100 has 162 divisors, whose sum is σ = 8235683820. Its totient is φ = 655761600.

The previous prime is 2541941093. The next prime is 2541941111. The reversal of 2541941100 is 11491452.

2541941100 is a `hidden beast` number, since 2 + 541 + 9 + 4 + 110 + 0 = 666.

2541941100 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 2×2541941100² = 12922929111738420000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 863431 + ... + 866369.

Almost surely, 2^2541941100 is an apocalyptic number.

2541941100 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 2541941100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117841910).

2541941100 is an abundant number, since it is smaller than the sum of its proper divisors (5693742720).

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

2541941100 is a wasteful number, since it uses less digits than its factorization.

2541941100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2541941100 is about 50417.6665465589. Note that the first 3 decimals coincide. The cubic root of 2541941100 is about 1364.7564674418.

The spelling of 2541941100 in words is "two billion, five hundred forty-one million, nine hundred forty-one thousand, one hundred".