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2754990080 = 21251741193
BaseRepresentation
bin1010010000110101…
…1101000000000000
321002222222222220122
42210031131000000
521120234140310
61133212555412
7125162013023
oct24415350000
97088888818
102754990080
111194135907
1264a782b68
1334b9cb25b
141c1c691ba
15111ce8555
hexa435d000

2754990080 has 208 divisors, whose sum is σ = 7207948944. Its totient is φ = 1006632960.

The previous prime is 2754990061. The next prime is 2754990083. The reversal of 2754990080 is 800994572.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 307511296 + 2447478784 = 17536^2 + 49472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2754990083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14274464 + ... + 14274656.

Almost surely, 22754990080 is an apocalyptic number.

2754990080 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 2754990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603974472).

2754990080 is an abundant number, since it is smaller than the sum of its proper divisors (4452958864).

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

2754990080 is a wasteful number, since it uses less digits than its factorization.

2754990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 2754990080 is about 52487.9993903368. Note that the first 3 decimals coincide. The cubic root of 2754990080 is about 1401.8665714834.

The spelling of 2754990080 in words is "two billion, seven hundred fifty-four million, nine hundred ninety thousand, eighty".