2742618960 has 80 divisors (see below), whose sum is σ = 9446806080. Its totient is φ = 731364480.

The previous prime is 2742618941. The next prime is 2742618961. The reversal of 2742618960 is 698162472.

It is a happy number.

2742618960 is a `hidden beast` number, since 27 + 4 + 2 + 618 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742618961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632706 + ... + 637025.

It is an arithmetic number, because the mean of its divisors is an integer number (118085076).

Almost surely, 2^2742618960 is an apocalyptic number.

2742618960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2742618960 is an abundant number, since it is smaller than the sum of its proper divisors (6704187120).

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

2742618960 is a wasteful number, since it uses less digits than its factorization.

2742618960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269753 (or 1269741 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2742618960 is about 52370.0196677450. The cubic root of 2742618960 is about 1399.7650898376.

The spelling of 2742618960 in words is "two billion, seven hundred forty-two million, six hundred eighteen thousand, nine hundred sixty".