2713962240 has 576 divisors, whose sum is σ = 10772697600. Its totient is φ = 646778880.

The previous prime is 2713962227. The next prime is 2713962253. The reversal of 2713962240 is 422693172.

2713962240 is a `hidden beast` number, since 27 + 1 + 3 + 9 + 622 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2713962227) and next prime (2713962253).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2713962195 and 2713962204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45999331 + ... + 45999389.

It is an arithmetic number, because the mean of its divisors is an integer number (18702600).

Almost surely, 2^2713962240 is an apocalyptic number.

2713962240 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 2713962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386348800).

2713962240 is an abundant number, since it is smaller than the sum of its proper divisors (8058735360).

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

2713962240 is an equidigital number, since it uses as much as digits as its factorization.

2713962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2713962240 is about 52095.7027018544. The cubic root of 2713962240 is about 1394.8727829415.

The spelling of 2713962240 in words is "two billion, seven hundred thirteen million, nine hundred sixty-two thousand, two hundred forty".