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2670057040 = 24572681137
BaseRepresentation
bin1001111100100101…
…1101011001010000
320220002011221200111
42133021131121100
520432013311130
61120540331104
7123111052600
oct23711353120
96802157614
102670057040
1111501a5412
12626243a94
13337231711
141b487ac00
1510961d02a
hex9f25d650

2670057040 has 60 divisors (see below), whose sum is σ = 7221425076. Its totient is φ = 915446784.

The previous prime is 2670057037. The next prime is 2670057059. The reversal of 2670057040 is 407500762.

2670057040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1266505744 + 1403551296 = 35588^2 + 37464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2670056993 and 2670057011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336649 + ... + 344488.

Almost surely, 22670057040 is an apocalyptic number.

2670057040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2670057040 is an abundant number, since it is smaller than the sum of its proper divisors (4551368036).

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

2670057040 is a wasteful number, since it uses less digits than its factorization.

2670057040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681164 (or 681151 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 2670057040 is about 51672.5946706763. The cubic root of 2670057040 is about 1387.3099882104.

The spelling of 2670057040 in words is "two billion, six hundred seventy million, fifty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 681137 1362274 2724548 3405685 4767959 5449096 6811370 9535918 10898192 13622740 19071836 23839795 27245480 33375713 38143672 47679590 54490960 66751426 76287344 95359180 133502852 166878565 190718360 267005704 333757130 381436720 534011408 667514260 1335028520 2670057040