2541213000 has 320 divisors, whose sum is σ = 8986863600. Its totient is φ = 669772800.

The previous prime is 2541212963. The next prime is 2541213047. The reversal of 2541213000 is 3121452.

It can be written as a sum of positive squares in 8 ways, for example, as 550090116 + 1991122884 = 23454^2 + 44622^2 .

It is a super-2 number, since 2×2541213000² = 12915527022738000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11096886 + ... + 11097114.

Almost surely, 2^2541213000 is an apocalyptic number.

2541213000 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 2541213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493431800).

2541213000 is an abundant number, since it is smaller than the sum of its proper divisors (6445650600).

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

2541213000 is a wasteful number, since it uses less digits than its factorization.

2541213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2541213000 is about 50410.4453461780. The cubic root of 2541213000 is about 1364.6261504865.

Adding to 2541213000 its reverse (3121452), we get a palindrome (2544334452).

The spelling of 2541213000 in words is "two billion, five hundred forty-one million, two hundred thirteen thousand".