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2480704416 = 253213276491
BaseRepresentation
bin1001001111011100…
…1000101110100000
320101212212211201100
42103313020232200
520040030020131
61050054034400
7115321432251
oct22367105640
96355784640
102480704416
111063324a43
12592948a00
13306c34848
1419766ab28
15e7bb87e6
hex93dc8ba0

2480704416 has 72 divisors (see below), whose sum is σ = 7060906944. Its totient is φ = 826151040.

The previous prime is 2480704411. The next prime is 2480704417. The reversal of 2480704416 is 6144070842.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (2480704411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 378931 + ... + 385421.

It is an arithmetic number, because the mean of its divisors is an integer number (98068152).

Almost surely, 22480704416 is an apocalyptic number.

It is an amenable number.

2480704416 is an abundant number, since it is smaller than the sum of its proper divisors (4580202528).

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

2480704416 is a wasteful number, since it uses less digits than its factorization.

2480704416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7834 (or 7823 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2480704416 is about 49806.6703966447. The cubic root of 2480704416 is about 1353.7080346514.

The spelling of 2480704416 in words is "two billion, four hundred eighty million, seven hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1327 2654 3981 5308 6491 7962 10616 11943 12982 15924 19473 21232 23886 25964 31848 38946 42464 47772 51928 58419 63696 77892 95544 103856 116838 127392 155784 191088 207712 233676 311568 382176 467352 623136 934704 1869408 8613557 17227114 25840671 34454228 51681342 68908456 77522013 103362684 137816912 155044026 206725368 275633824 310088052 413450736 620176104 826901472 1240352208 2480704416