2541954900 has 288 divisors, whose sum is σ = 8093232000. Its totient is φ = 613785600.

The previous prime is 2541954887. The next prime is 2541954901. The reversal of 2541954900 is 94591452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541954901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17060026 + ... + 17060174.

It is an arithmetic number, because the mean of its divisors is an integer number (28101500).

Almost surely, 2^2541954900 is an apocalyptic number.

2541954900 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 2541954900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046616000).

2541954900 is an abundant number, since it is smaller than the sum of its proper divisors (5551277100).

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

2541954900 is a wasteful number, since it uses less digits than its factorization.

2541954900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 2541954900 is about 50417.8034031631. The cubic root of 2541954900 is about 1364.7589371561.

The spelling of 2541954900 in words is "two billion, five hundred forty-one million, nine hundred fifty-four thousand, nine hundred".