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2670420064 = 251335917881
BaseRepresentation
bin1001111100101011…
…0110000001100000
320220002212101122211
42133022312001200
520432111420224
61120552211504
7123114124144
oct23712660140
96802771584
102670420064
111150423134
12626399b94
1333732aa20
141b4933224
15109690894
hex9f2b6060

2670420064 has 48 divisors (see below), whose sum is σ = 5677892640. Its totient is φ = 1228999680.

The previous prime is 2670420059. The next prime is 2670420097. The reversal of 2670420064 is 4600240762.

It is a super-2 number, since 2×26704200642 = 14262286636427528192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140404 + ... + 158284.

It is an arithmetic number, because the mean of its divisors is an integer number (118289430).

Almost surely, 22670420064 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 2670420064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838946320).

2670420064 is an abundant number, since it is smaller than the sum of its proper divisors (3007472576).

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

2670420064 is a wasteful number, since it uses less digits than its factorization.

2670420064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18263 (or 18255 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 2670420064 is about 51676.1072837341. The cubic root of 2670420064 is about 1387.3728587772.

The spelling of 2670420064 in words is "two billion, six hundred seventy million, four hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 359 416 718 1436 2872 4667 5744 9334 11488 17881 18668 35762 37336 71524 74672 143048 149344 232453 286096 464906 572192 929812 1859624 3719248 6419279 7438496 12838558 25677116 51354232 83450627 102708464 166901254 205416928 333802508 667605016 1335210032 2670420064