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2494381344 = 253713377717
BaseRepresentation
bin1001010010101101…
…0011110100100000
320102211121200221020
42110223103310200
520102030200334
61051303125440
7115545614550
oct22453236440
96384550836
102494381344
111070016694
12597443880
13309a12bc0
141993cb160
15e8ebae49
hex94ad3d20

2494381344 has 192 divisors, whose sum is σ = 8277647616. Its totient is φ = 639995904.

The previous prime is 2494381333. The next prime is 2494381361. The reversal of 2494381344 is 4431834942.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2494381296 and 2494381305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319374 + ... + 327090.

It is an arithmetic number, because the mean of its divisors is an integer number (43112748).

Almost surely, 22494381344 is an apocalyptic number.

2494381344 is a gapful number since it is divisible by the number (24) 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 2494381344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138823808).

2494381344 is an abundant number, since it is smaller than the sum of its proper divisors (5783266272).

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

2494381344 is a wasteful number, since it uses less digits than its factorization.

2494381344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7787 (or 7779 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 2494381344 is about 49943.7818351794. The cubic root of 2494381344 is about 1356.1912870475.

The spelling of 2494381344 in words is "two billion, four hundred ninety-four million, three hundred eighty-one thousand, three hundred forty-four".