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2498840064 = 2933731731
BaseRepresentation
bin1001010011110001…
…0100011000000000
320110011000020011000
42110330110120000
520104200340224
61051542452000
7115631535000
oct22474243000
96404006130
102498840064
111072591586
12598a34000
1330a9144b6
14199c2c000
15e959c0c9
hex94f14600

2498840064 has 640 divisors, whose sum is σ = 9427968000. Its totient is φ = 650280960.

The previous prime is 2498840021. The next prime is 2498840087. The reversal of 2498840064 is 4600488942.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80607729 + ... + 80607759.

It is an arithmetic number, because the mean of its divisors is an integer number (14731200).

Almost surely, 22498840064 is an apocalyptic number.

2498840064 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 2498840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713984000).

2498840064 is an abundant number, since it is smaller than the sum of its proper divisors (6929127936).

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

2498840064 is an equidigital number, since it uses as much as digits as its factorization.

2498840064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2498840064 is about 49988.3992942363. The cubic root of 2498840064 is about 1356.9988724450.

The spelling of 2498840064 in words is "two billion, four hundred ninety-eight million, eight hundred forty thousand, sixty-four".