2757921408 has 192 divisors, whose sum is σ = 8745871680. Its totient is φ = 827228160.

The previous prime is 2757921349. The next prime is 2757921433. The reversal of 2757921408 is 8041297572.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2757921408² = 15212260985409404928, which contains 22 as substring.

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, 1304160 + ... + 1306272.

It is an arithmetic number, because the mean of its divisors is an integer number (45551415).

Almost surely, 2^2757921408 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 2757921408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372935840).

2757921408 is an abundant number, since it is smaller than the sum of its proper divisors (5987950272).

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

2757921408 is a wasteful number, since it uses less digits than its factorization.

2757921408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 2757921408 is about 52515.9157589392. The cubic root of 2757921408 is about 1402.3635937379.

The spelling of 2757921408 in words is "two billion, seven hundred fifty-seven million, nine hundred twenty-one thousand, four hundred eight".