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2124994560 = 211351317313
BaseRepresentation
bin111111010101000…
…1101100000000000
312111002112220112020
41332222031200000
513322444311220
6550510001440
7103442104263
oct17652154000
95432486466
102124994560
119a055a957
124b37a6280
1327b32c740
14162314cda
15c6853040
hex7ea8d800

2124994560 has 384 divisors, whose sum is σ = 7776699840. Its totient is φ = 490733568.

The previous prime is 2124994549. The next prime is 2124994583. The reversal of 2124994560 is 654994212.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6788964 + ... + 6789276.

Almost surely, 22124994560 is an apocalyptic number.

2124994560 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 2124994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888349920).

2124994560 is an abundant number, since it is smaller than the sum of its proper divisors (5651705280).

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

2124994560 is a wasteful number, since it uses less digits than its factorization.

2124994560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2124994560 is about 46097.6632813421. The cubic root of 2124994560 is about 1285.6396982480.

The spelling of 2124994560 in words is "two billion, one hundred twenty-four million, nine hundred ninety-four thousand, five hundred sixty".