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2049522720 = 253571753677
BaseRepresentation
bin111101000101001…
…0011110000100000
312021211112112121220
41322022103300200
513144134211340
6535212215040
7101534440620
oct17212236040
95254475556
102049522720
119619a1833
1249246a480
132687c644b
141562aa880
15bede5ed0
hex7a293c20

2049522720 has 384 divisors, whose sum is σ = 7971457536. Its totient is φ = 431947776.

The previous prime is 2049522689. The next prime is 2049522721. The reversal of 2049522720 is 272259402.

It is not an unprimeable number, because it can be changed into a prime (2049522721) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3027022 + ... + 3027698.

It is an arithmetic number, because the mean of its divisors is an integer number (20759004).

Almost surely, 22049522720 is an apocalyptic number.

2049522720 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 2049522720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985728768).

2049522720 is an abundant number, since it is smaller than the sum of its proper divisors (5921934816).

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

2049522720 is a wasteful number, since it uses less digits than its factorization.

2049522720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2049522720 is about 45271.6547079958. The cubic root of 2049522720 is about 1270.2354989326.

The spelling of 2049522720 in words is "two billion, forty-nine million, five hundred twenty-two thousand, seven hundred twenty".