2762002672 has 80 divisors (see below), whose sum is σ = 6314283360. Its totient is φ = 1153843200.

The previous prime is 2762002651. The next prime is 2762002681.

2762002672 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548904 + ... + 553912.

It is an arithmetic number, because the mean of its divisors is an integer number (78928542).

Almost surely, 2^2762002672 is an apocalyptic number.

2762002672 is a gapful number since it is divisible by the number (22) 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 2762002672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157141680).

2762002672 is an abundant number, since it is smaller than the sum of its proper divisors (3552280688).

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

2762002672 is a wasteful number, since it uses less digits than its factorization.

2762002672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5282 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 2762002672 is about 52554.7587949940. The cubic root of 2762002672 is about 1403.0550075830.

It can be divided in two parts, 276200 and 2672, that added together give a palindrome (278872).

The spelling of 2762002672 in words is "two billion, seven hundred sixty-two million, two thousand, six hundred seventy-two".