2760396408 has 288 divisors, whose sum is σ = 9692991360. Its totient is φ = 715936320.

The previous prime is 2760396347. The next prime is 2760396409. The reversal of 2760396408 is 8046930672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2760396409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4041235 + ... + 4041917.

It is an arithmetic number, because the mean of its divisors is an integer number (33656220).

Almost surely, 2^2760396408 is an apocalyptic number.

2760396408 is a gapful number since it is divisible by the number (28) 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 2760396408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846495680).

2760396408 is an abundant number, since it is smaller than the sum of its proper divisors (6932594952).

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

2760396408 is an equidigital number, since it uses as much as digits as its factorization.

2760396408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2760396408 is about 52539.4747594606. The cubic root of 2760396408 is about 1402.7829690130.

The spelling of 2760396408 in words is "two billion, seven hundred sixty million, three hundred ninety-six thousand, four hundred eight".