2754155520 has 440 divisors, whose sum is σ = 10254241800. Its totient is φ = 706019328.

The previous prime is 2754155519. The next prime is 2754155561. The reversal of 2754155520 is 255514572.

It can be written as a sum of positive squares in 4 ways, for example, as 862949376 + 1891206144 = 29376^2 + 43488^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12026766 + ... + 12026994.

It is an arithmetic number, because the mean of its divisors is an integer number (23305095).

Almost surely, 2^2754155520 is an apocalyptic number.

2754155520 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 2754155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127120900).

2754155520 is an abundant number, since it is smaller than the sum of its proper divisors (7500086280).

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

2754155520 is a wasteful number, since it uses less digits than its factorization.

2754155520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The square root of 2754155520 is about 52480.0487804651. The cubic root of 2754155520 is about 1401.7250029251.

The spelling of 2754155520 in words is "two billion, seven hundred fifty-four million, one hundred fifty-five thousand, five hundred twenty".