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2602057040 = 245114197057
BaseRepresentation
bin1001101100011000…
…0011110101010000
320201100020012012222
42123012003311100
520312111311130
61110111040212
7121324056062
oct23306036520
96640205188
102602057040
11111587aa70
12607510068
1332611332b
141a9819732
15103689ce5
hex9b183d50

2602057040 has 80 divisors (see below), whose sum is σ = 6616451520. Its totient is φ = 943810560.

The previous prime is 2602057037. The next prime is 2602057057. The reversal of 2602057040 is 407502062.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365192 + ... + 372248.

It is an arithmetic number, because the mean of its divisors is an integer number (82705644).

Almost surely, 22602057040 is an apocalyptic number.

2602057040 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 2602057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308225760).

2602057040 is an abundant number, since it is smaller than the sum of its proper divisors (4014394480).

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

2602057040 is a wasteful number, since it uses less digits than its factorization.

2602057040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7500 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 2602057040 is about 51010.3620845804. The cubic root of 2602057040 is about 1375.4314088729.

The spelling of 2602057040 in words is "two billion, six hundred two million, fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 419 440 838 880 1676 2095 3352 4190 4609 6704 7057 8380 9218 14114 16760 18436 23045 28228 33520 35285 36872 46090 56456 70570 73744 77627 92180 112912 141140 155254 184360 282280 310508 368720 388135 564560 621016 776270 1242032 1552540 2956883 3105080 5913766 6210160 11827532 14784415 23655064 29568830 32525713 47310128 59137660 65051426 118275320 130102852 162628565 236550640 260205704 325257130 520411408 650514260 1301028520 2602057040