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2722794480 = 2433573137157
BaseRepresentation
bin1010001001001010…
…1000101111110000
321000202102021212000
42202102220233300
521034013410410
61130102534000
7124321241220
oct24222505760
97022367760
102722794480
111177a4587a
1263ba37300
13345137ac3
141bb888080
1510e088dc0
hexa24a8bf0

2722794480 has 640 divisors, whose sum is σ = 11435458560. Its totient is φ = 582266880.

The previous prime is 2722794397. The next prime is 2722794523. The reversal of 2722794480 is 844972272.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17342562 + ... + 17342718.

It is an arithmetic number, because the mean of its divisors is an integer number (17867904).

Almost surely, 22722794480 is an apocalyptic number.

2722794480 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 2722794480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717729280).

2722794480 is an abundant number, since it is smaller than the sum of its proper divisors (8712664080).

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

2722794480 is a wasteful number, since it uses less digits than its factorization.

2722794480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2722794480 is about 52180.4032180665. The cubic root of 2722794480 is about 1396.3842889679.

The spelling of 2722794480 in words is "two billion, seven hundred twenty-two million, seven hundred ninety-four thousand, four hundred eighty".