2511222042 has 128 divisors (see below), whose sum is σ = 6072606720. Its totient is φ = 677445120.

The previous prime is 2511222023. The next prime is 2511222061. The reversal of 2511222042 is 2402221152.

2511222042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2511222023) and next prime (2511222061).

It is a super-2 number, since 2×2511222042² = 12612472288453299528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9266367 + ... + 9266637.

It is an arithmetic number, because the mean of its divisors is an integer number (47442240).

Almost surely, 2^2511222042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2511222042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036303360).

2511222042 is an abundant number, since it is smaller than the sum of its proper divisors (3561384678).

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

2511222042 is a wasteful number, since it uses less digits than its factorization.

2511222042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2511222042 is about 50112.0947676307. The cubic root of 2511222042 is about 1359.2365311916.

Adding to 2511222042 its reverse (2402221152), we get a palindrome (4913443194).

The spelling of 2511222042 in words is "two billion, five hundred eleven million, two hundred twenty-two thousand, forty-two".