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2493068000 = 25534789149
BaseRepresentation
bin1001010010011001…
…0011001011100000
320102202010222100212
42110212103023200
520101211134000
61051215033252
7115531504553
oct22446231340
96382128325
102493068000
11106a2a9985
12596b0b828
13309673187
1419916869a
15e8d0bc35
hex949932e0

2493068000 has 192 divisors, whose sum is σ = 6368544000. Its totient is φ = 958566400.

The previous prime is 2493067979. The next prime is 2493068021. The reversal of 2493068000 is 8603942.

It is an interprime number because it is at equal distance from previous prime (2493067979) and next prime (2493068021).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16731926 + ... + 16732074.

It is an arithmetic number, because the mean of its divisors is an integer number (33169500).

Almost surely, 22493068000 is an apocalyptic number.

2493068000 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 2493068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184272000).

2493068000 is an abundant number, since it is smaller than the sum of its proper divisors (3875476000).

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

2493068000 is a wasteful number, since it uses less digits than its factorization.

2493068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2493068000 is about 49930.6318806402. The cubic root of 2493068000 is about 1355.9532242257.

The spelling of 2493068000 in words is "two billion, four hundred ninety-three million, sixty-eight thousand".