2758240512 has 216 divisors, whose sum is σ = 8347859520. Its totient is φ = 908236800.

The previous prime is 2758240487. The next prime is 2758240553. The reversal of 2758240512 is 2150428572.

It is a happy number.

2758240512 is a `hidden beast` number, since 27 + 5 + 82 + 40 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6282789 + ... + 6283227.

Almost surely, 2^2758240512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2758240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173929760).

2758240512 is an abundant number, since it is smaller than the sum of its proper divisors (5589619008).

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

2758240512 is an equidigital number, since it uses as much as digits as its factorization.

2758240512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2758240512 is about 52518.9538357344. The cubic root of 2758240512 is about 1402.4176782588.

The spelling of 2758240512 in words is "two billion, seven hundred fifty-eight million, two hundred forty thousand, five hundred twelve".