2642261980 has 96 divisors (see below), whose sum is σ = 5996390400. Its totient is φ = 974840832.

The previous prime is 2642261977. The next prime is 2642261989. The reversal of 2642261980 is 891622462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642261989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6018601 + ... + 6019039.

It is an arithmetic number, because the mean of its divisors is an integer number (62462400).

Almost surely, 2^2642261980 is an apocalyptic number.

2642261980 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 2642261980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998195200).

2642261980 is an abundant number, since it is smaller than the sum of its proper divisors (3354128420).

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

2642261980 is a wasteful number, since it uses less digits than its factorization.

2642261980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 2642261980 is about 51402.9374647014. The cubic root of 2642261980 is about 1382.4792615811.

The spelling of 2642261980 in words is "two billion, six hundred forty-two million, two hundred sixty-one thousand, nine hundred eighty".