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2554986240 = 28345191297
BaseRepresentation
bin1001100001001001…
…1111111100000000
320121001122202020000
42120102133330000
520213034024430
61101310120000
7120213011322
oct23022377400
96531582200
102554986240
1110a124aa84
125b37b0000
133194422a1
141a3485612
15ee48ce60
hex9849ff00

2554986240 has 360 divisors, whose sum is σ = 9630796560. Its totient is φ = 644972544.

The previous prime is 2554986233. The next prime is 2554986283. The reversal of 2554986240 is 426894552.

2554986240 is a `hidden beast` number, since 2 + 5 + 549 + 8 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1969272 + ... + 1970568.

Almost surely, 22554986240 is an apocalyptic number.

2554986240 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 2554986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815398280).

2554986240 is an abundant number, since it is smaller than the sum of its proper divisors (7075810320).

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

2554986240 is a wasteful number, since it uses less digits than its factorization.

2554986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2554986240 is about 50546.8717132920. The cubic root of 2554986240 is about 1367.0871102468.

The spelling of 2554986240 in words is "two billion, five hundred fifty-four million, nine hundred eighty-six thousand, two hundred forty".