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2670060960 = 253257279479
BaseRepresentation
bin1001111100100101…
…1110010110100000
320220002012011001200
42133021132112200
520432013422320
61120540401200
7123111100200
oct23711362640
96802164050
102670060960
1111501a8356
12626246200
13337233438
141b487c400
1510961e290
hex9f25e5a0

2670060960 has 432 divisors, whose sum is σ = 10755763200. Its totient is φ = 601316352.

The previous prime is 2670060959. The next prime is 2670060979. The reversal of 2670060960 is 690600762.

2670060960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26700609602 = 14258451060232243200, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 5574001 + ... + 5574479.

It is an arithmetic number, because the mean of its divisors is an integer number (24897600).

Almost surely, 22670060960 is an apocalyptic number.

2670060960 is a gapful number since it is divisible by the number (20) 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 2670060960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377881600).

2670060960 is an abundant number, since it is smaller than the sum of its proper divisors (8085702240).

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

2670060960 is a wasteful number, since it uses less digits than its factorization.

2670060960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2670060960 is about 51672.6326017942. The cubic root of 2670060960 is about 1387.3106671288.

The spelling of 2670060960 in words is "two billion, six hundred seventy million, sixty thousand, nine hundred sixty".