2541853440 has 864 divisors, whose sum is σ = 11184768000. Its totient is φ = 543449088.

The previous prime is 2541853423. The next prime is 2541853477. The reversal of 2541853440 is 443581452.

It is a happy number.

2541853440 is a `hidden beast` number, since 2 + 541 + 85 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×2541853440² = 12922037820879667200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2541853395 and 2541853404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32175321 + ... + 32175399.

Almost surely, 2^2541853440 is an apocalyptic number.

2541853440 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 2541853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592384000).

2541853440 is an abundant number, since it is smaller than the sum of its proper divisors (8642914560).

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

2541853440 is a wasteful number, since it uses less digits than its factorization.

2541853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2541853440 is about 50416.7972009329. The cubic root of 2541853440 is about 1364.7407791781.

The spelling of 2541853440 in words is "two billion, five hundred forty-one million, eight hundred fifty-three thousand, four hundred forty".