2761612480 has 112 divisors (see below), whose sum is σ = 7265456640. Its totient is φ = 991411200.

The previous prime is 2761612421. The next prime is 2761612517. The reversal of 2761612480 is 842161672.

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, 273115 + ... + 283045.

Almost surely, 2^2761612480 is an apocalyptic number.

2761612480 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 2761612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632728320).

2761612480 is an abundant number, since it is smaller than the sum of its proper divisors (4503844160).

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

2761612480 is a wasteful number, since it uses less digits than its factorization.

2761612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038 (or 10028 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 2761612480 is about 52551.0464215509. The cubic root of 2761612480 is about 1402.9889339537.

The spelling of 2761612480 in words is "two billion, seven hundred sixty-one million, six hundred twelve thousand, four hundred eighty".