2642126910 has 64 divisors (see below), whose sum is σ = 6814409472. Its totient is φ = 653216256.

The previous prime is 2642126899. The next prime is 2642126911. The reversal of 2642126910 is 196212462.

It is a super-2 number, since 2×2642126910² = 13961669217092296200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642126911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4492 + ... + 72831.

It is an arithmetic number, because the mean of its divisors is an integer number (106475148).

Almost surely, 2^2642126910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642126910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407204736).

2642126910 is an abundant number, since it is smaller than the sum of its proper divisors (4172282562).

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

2642126910 is a wasteful number, since it uses less digits than its factorization.

2642126910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77417.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2642126910 is about 51401.6236124891. The cubic root of 2642126910 is about 1382.4557041573.

The spelling of 2642126910 in words is "two billion, six hundred forty-two million, one hundred twenty-six thousand, nine hundred ten".