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2493859872 = 253729731753
BaseRepresentation
bin1001010010100101…
…0100100000100000
320102210122012121110
42110221110200200
520101412003442
61051244023320
7115541313330
oct22451244040
96383565543
102493859872
11106a79a919
12597231b40
1330988c73a
141992d30c0
15e8e1669c
hex94a54820

2493859872 has 192 divisors, whose sum is σ = 7850062080. Its totient is φ = 678150144.

The previous prime is 2493859871. The next prime is 2493859943. The reversal of 2493859872 is 2789583942.

It is a happy number.

It is a super-2 number, since 2×24938598722 = 12438674122343712768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2493859871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1421748 + ... + 1423500.

It is an arithmetic number, because the mean of its divisors is an integer number (40885740).

Almost surely, 22493859872 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 2493859872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925031040).

2493859872 is an abundant number, since it is smaller than the sum of its proper divisors (5356202208).

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

2493859872 is a wasteful number, since it uses less digits than its factorization.

2493859872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1867 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The square root of 2493859872 is about 49938.5609724589. The cubic root of 2493859872 is about 1356.0967726203.

The spelling of 2493859872 in words is "two billion, four hundred ninety-three million, eight hundred fifty-nine thousand, eight hundred seventy-two".