2541440000 has 330 divisors, whose sum is σ = 7309288404. Its totient is φ = 875520000.

The previous prime is 2541439951. The next prime is 2541440021. The reversal of 2541440000 is 441452.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 133759991 + ... + 133760009.

Almost surely, 2^2541440000 is an apocalyptic number.

2541440000 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 2541440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654644202).

2541440000 is an abundant number, since it is smaller than the sum of its proper divisors (4767848404).

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

2541440000 is an equidigital number, since it uses as much as digits as its factorization.

2541440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2541440000 is about 50412.6968134021. The cubic root of 2541440000 is about 1364.6667821210. Note that the first 3 decimals are identical.

Adding to 2541440000 its reverse (441452), we get a palindrome (2541881452).

The spelling of 2541440000 in words is "two billion, five hundred forty-one million, four hundred forty thousand".