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2485042560 = 2732571113431
BaseRepresentation
bin1001010000011110…
…1011110110000000
320102012001020112100
42110013223312000
520042132330220
61050331030400
7115403341020
oct22407536600
96365036470
102485042560
111065818290
1259429b400
13307ac32b0
14198079a80
15e8273d90
hex941ebd80

2485042560 has 768 divisors, whose sum is σ = 11548293120. Its totient is φ = 475545600.

The previous prime is 2485042543. The next prime is 2485042591. The reversal of 2485042560 is 652405842.

It is a happy number.

2485042560 is a `hidden beast` number, since 2 + 4 + 8 + 50 + 42 + 560 = 666.

It is a super-2 number, since 2×24850425602 = 12350873050022707200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5765545 + ... + 5765975.

It is an arithmetic number, because the mean of its divisors is an integer number (15036840).

Almost surely, 22485042560 is an apocalyptic number.

2485042560 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 2485042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774146560).

2485042560 is an abundant number, since it is smaller than the sum of its proper divisors (9063250560).

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

2485042560 is a wasteful number, since it uses less digits than its factorization.

2485042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2485042560 is about 49850.2012032048. The cubic root of 2485042560 is about 1354.4966763019.

The spelling of 2485042560 in words is "two billion, four hundred eighty-five million, forty-two thousand, five hundred sixty".