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2487059640 = 2334513137431
BaseRepresentation
bin1001010000111101…
…1000010010111000
320102022211201110000
42110033120102320
520043141402030
61050442153000
7115426441512
oct22417302270
96368751400
102487059640
11106697579a
12594ab2760
1330834b430
14198442bb2
15e8521860
hex943d84b8

2487059640 has 320 divisors, whose sum is σ = 9089055360. Its totient is φ = 606320640.

The previous prime is 2487059581. The next prime is 2487059647. The reversal of 2487059640 is 469507842.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2487059647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5770225 + ... + 5770655.

It is an arithmetic number, because the mean of its divisors is an integer number (28403298).

Almost surely, 22487059640 is an apocalyptic number.

2487059640 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 2487059640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544527680).

2487059640 is an abundant number, since it is smaller than the sum of its proper divisors (6601995720).

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

2487059640 is a wasteful number, since it uses less digits than its factorization.

2487059640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2487059640 is about 49870.4285122957. The cubic root of 2487059640 is about 1354.8630535652.

The spelling of 2487059640 in words is "two billion, four hundred eighty-seven million, fifty-nine thousand, six hundred forty".