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2490215616 = 263372931229
BaseRepresentation
bin1001010001101101…
…1010110011000000
320102112210001122000
42110123122303000
520044443344431
61051033544000
7115465324560
oct22433326300
96375701560
102490215616
111068730939
12595b75000
13308bb4a85
14198a24da0
15e89469e6
hex946dacc0

2490215616 has 448 divisors, whose sum is σ = 8973312000. Its totient is φ = 661893120.

The previous prime is 2490215603. The next prime is 2490215659. The reversal of 2490215616 is 6165120942.

2490215616 is a `hidden beast` number, since 2 + 4 + 90 + 2 + 1 + 561 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10874190 + ... + 10874418.

Almost surely, 22490215616 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 2490215616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486656000).

2490215616 is an abundant number, since it is smaller than the sum of its proper divisors (6483096384).

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

2490215616 is a wasteful number, since it uses less digits than its factorization.

2490215616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2490215616 is about 49902.0602380303. The cubic root of 2490215616 is about 1355.4358997530.

The spelling of 2490215616 in words is "two billion, four hundred ninety million, two hundred fifteen thousand, six hundred sixteen".