2541001452 has 96 divisors (see below), whose sum is σ = 6805983744. Its totient is φ = 736415680.

The previous prime is 2541001433. The next prime is 2541001469.

2541001452 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2541001452² = 12913376758132216608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363898 + ... + 370814.

It is an arithmetic number, because the mean of its divisors is an integer number (70895664).

Almost surely, 2^2541001452 is an apocalyptic number.

2541001452 is a gapful number since it is divisible by the number (22) 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 2541001452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402991872).

2541001452 is an abundant number, since it is smaller than the sum of its proper divisors (4264982292).

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

2541001452 is a wasteful number, since it uses less digits than its factorization.

2541001452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6980 (or 6956 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2541001452 is about 50408.3470468929. The cubic root of 2541001452 is about 1364.5882824889.

It can be divided in two parts, 254100 and 1452, that added together give a palindrome (255552).

The spelling of 2541001452 in words is "two billion, five hundred forty-one million, one thousand, four hundred fifty-two".