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2451994080 = 2535192973127
BaseRepresentation
bin1001001000100110…
…0111010111100000
320022212212012112120
42102021213113200
520010202302310
61043150424240
7114522414534
oct22211472740
96285765476
102451994080
1110490a5498
12585202080
13300cc1893
14193915bc4
15e53e6b70
hex922675e0

2451994080 has 384 divisors, whose sum is σ = 8592998400. Its totient is φ = 585252864.

The previous prime is 2451994063. The next prime is 2451994087. The reversal of 2451994080 is 804991542.

It is a super-3 number, since 3×24519940803 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451994087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19306977 + ... + 19307103.

It is an arithmetic number, because the mean of its divisors is an integer number (22377600).

Almost surely, 22451994080 is an apocalyptic number.

2451994080 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 2451994080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296499200).

2451994080 is an abundant number, since it is smaller than the sum of its proper divisors (6141004320).

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

2451994080 is a wasteful number, since it uses less digits than its factorization.

2451994080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 2451994080 is about 49517.6138358867. The cubic root of 2451994080 is about 1348.4653947527.

The spelling of 2451994080 in words is "two billion, four hundred fifty-one million, nine hundred ninety-four thousand, eighty".