2511211542 has 128 divisors (see below), whose sum is σ = 6290887680. Its totient is φ = 651939840.

The previous prime is 2511211541. The next prime is 2511211597. The reversal of 2511211542 is 2451121152.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2511211541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3190473 + ... + 3191259.

It is an arithmetic number, because the mean of its divisors is an integer number (49147560).

Almost surely, 2^2511211542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2511211542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145443840).

2511211542 is an abundant number, since it is smaller than the sum of its proper divisors (3779676138).

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

2511211542 is a wasteful number, since it uses less digits than its factorization.

2511211542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966.

The product of its digits is 800, while the sum is 24.

The square root of 2511211542 is about 50111.9900023936. The cubic root of 2511211542 is about 1359.2346367615.

Adding to 2511211542 its reverse (2451121152), we get a palindrome (4962332694).

The spelling of 2511211542 in words is "two billion, five hundred eleven million, two hundred eleven thousand, five hundred forty-two".