2766615540 has 96 divisors (see below), whose sum is σ = 8420630400. Its totient is φ = 674628096.

The previous prime is 2766615493. The next prime is 2766615601. The reversal of 2766615540 is 455166672.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2766615492 and 2766615501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66886 + ... + 100034.

It is an arithmetic number, because the mean of its divisors is an integer number (87714900).

Almost surely, 2^2766615540 is an apocalyptic number.

2766615540 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 2766615540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210315200).

2766615540 is an abundant number, since it is smaller than the sum of its proper divisors (5654014860).

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

2766615540 is a wasteful number, since it uses less digits than its factorization.

2766615540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33281 (or 33279 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 2766615540 is about 52598.6267881586. The cubic root of 2766615540 is about 1403.8356618877.

The spelling of 2766615540 in words is "two billion, seven hundred sixty-six million, six hundred fifteen thousand, five hundred forty".