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2573760420 = 2234571147439
BaseRepresentation
bin1001100101101000…
…0111011110100100
320122100222120120000
42121122013132210
520232340313140
61103220341300
7120531413460
oct23132073644
96570876500
102573760420
111100903330
125b9b44830
133202b677a
141a5b714a0
15100e4aa30
hex996877a4

2573760420 has 480 divisors, whose sum is σ = 10303856640. Its totient is φ = 522236160.

The previous prime is 2573760403. The next prime is 2573760443. The reversal of 2573760420 is 240673752.

It is a happy number.

2573760420 is a `hidden beast` number, since 2 + 573 + 7 + 60 + 4 + 20 = 666.

2573760420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5862561 + ... + 5862999.

It is an arithmetic number, because the mean of its divisors is an integer number (21466368).

Almost surely, 22573760420 is an apocalyptic number.

2573760420 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 2573760420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151928320).

2573760420 is an abundant number, since it is smaller than the sum of its proper divisors (7730096220).

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

2573760420 is a wasteful number, since it uses less digits than its factorization.

2573760420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2573760420 is about 50732.2424105223. The cubic root of 2573760420 is about 1370.4274191624.

The spelling of 2573760420 in words is "two billion, five hundred seventy-three million, seven hundred sixty thousand, four hundred twenty".