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2520106305240 = 2335191105309783
BaseRepresentation
bin100100101011000010000…
…010101000011011011000
322220220211112121200211110
4210223002002220123120
5312242134203231430
65205415412100320
7350033404104216
oct44530202503330
98826745550743
102520106305240
11891853345a77
123484b66046a0
131538500ca484
1489d8c14bcb6
1545848d797b0
hex24ac20a86d8

2520106305240 has 64 divisors (see below), whose sum is σ = 7958230444800. Its totient is φ = 636658434432.

The previous prime is 2520106305229. The next prime is 2520106305247. The reversal of 2520106305240 is 425036010252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2520106305198 and 2520106305207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520106305247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552652612 + ... + 552657171.

It is an arithmetic number, because the mean of its divisors is an integer number (124347350700).

Almost surely, 22520106305240 is an apocalyptic number.

2520106305240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2520106305240 is an abundant number, since it is smaller than the sum of its proper divisors (5438124139560).

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

2520106305240 is a wasteful number, since it uses less digits than its factorization.

2520106305240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105309816 (or 1105309812 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 2520106305240 in words is "two trillion, five hundred twenty billion, one hundred six million, three hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 1105309783 2210619566 3315929349 4421239132 5526548915 6631858698 8842478264 11053097830 13263717396 16579646745 21000885877 22106195660 26527434792 33159293490 42001771754 44212391320 63002657631 66318586980 84003543508 105004429385 126005315262 132637173960 168007087016 210008858770 252010630524 315013288155 420017717540 504021261048 630026576310 840035435080 1260053152620 2520106305240