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2494305408 = 27372196977
BaseRepresentation
bin1001010010101100…
…0001010010000000
320102211110211202210
42110223001102000
520102020233113
61051301342120
7115545150300
oct22453012200
96384424683
102494305408
11106aa74631
12597407940
133099b747a
141993ab600
15e8ea36c3
hex94ac1480

2494305408 has 192 divisors, whose sum is σ = 8114018400. Its totient is φ = 675053568.

The previous prime is 2494305379. The next prime is 2494305419. The reversal of 2494305408 is 8045034942.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354016 + ... + 360992.

Almost surely, 22494305408 is an apocalyptic number.

2494305408 is a gapful number since it is divisible by the number (28) 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 2494305408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057009200).

2494305408 is an abundant number, since it is smaller than the sum of its proper divisors (5619712992).

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

2494305408 is a wasteful number, since it uses less digits than its factorization.

2494305408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7027 (or 7008 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 2494305408 is about 49943.0216146360. The cubic root of 2494305408 is about 1356.1775248125.

The spelling of 2494305408 in words is "two billion, four hundred ninety-four million, three hundred five thousand, four hundred eight".