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2047489488 = 2434113141113
BaseRepresentation
bin111101000001010…
…0011010111010000
312021200201020120000
41322002203113100
513143124130423
6535100450000
7101511242052
oct17202432720
95250636500
102047489488
11960833180
12491849900
13268263b55
14155cdb8d2
15beb43843
hex7a0a35d0

2047489488 has 400 divisors, whose sum is σ = 6896558592. Its totient is φ = 580608000.

The previous prime is 2047489439. The next prime is 2047489489. The reversal of 2047489488 is 8849847402.

2047489488 is a `hidden beast` number, since 2 + 0 + 474 + 8 + 94 + 88 = 666.

It is a super-5 number, since 5×20474894885 (a number of 48 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047489489) 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, 18119320 + ... + 18119432.

Almost surely, 22047489488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2047489488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448279296).

2047489488 is an abundant number, since it is smaller than the sum of its proper divisors (4849069104).

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

2047489488 is a wasteful number, since it uses less digits than its factorization.

2047489488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 2047489488 is about 45249.1932303770. The cubic root of 2047489488 is about 1269.8153136278.

The spelling of 2047489488 in words is "two billion, forty-seven million, four hundred eighty-nine thousand, four hundred eighty-eight".