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2430252540 = 2232532514153
BaseRepresentation
bin1001000011011010…
…1011010111111100
320021100221121202100
42100312223113330
514434121040130
61041052425100
7114136543242
oct22066532774
96240847670
102430252540
1110378a5781
12579a78190
132c964b871
14190a96792
15e354ec60
hex90dab5fc

2430252540 has 72 divisors (see below), whose sum is σ = 7375809168. Its totient is φ = 647712000.

The previous prime is 2430252529. The next prime is 2430252593. The reversal of 2430252540 is 452520342.

It is a happy number.

It is a super-2 number, since 2×24302525402 = 11812254816352903200, 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 23 ways as a sum of consecutive naturals, for example, 583104 + ... + 587256.

It is an arithmetic number, because the mean of its divisors is an integer number (102441794).

Almost surely, 22430252540 is an apocalyptic number.

2430252540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430252540 is an abundant number, since it is smaller than the sum of its proper divisors (4945556628).

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

2430252540 is a wasteful number, since it uses less digits than its factorization.

2430252540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7419 (or 7414 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2430252540 is about 49297.5916247437. The cubic root of 2430252540 is about 1344.4679957676.

Adding to 2430252540 its reverse (452520342), we get a palindrome (2882772882).

The spelling of 2430252540 in words is "two billion, four hundred thirty million, two hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3251 4153 6502 8306 9753 12459 13004 16255 16612 19506 20765 24918 29259 32510 37377 39012 41530 48765 49836 58518 62295 65020 74754 83060 97530 117036 124590 146295 149508 186885 195060 249180 292590 373770 585180 747540 13501403 27002806 40504209 54005612 67507015 81008418 121512627 135014030 162016836 202521045 243025254 270028060 405042090 486050508 607563135 810084180 1215126270 2430252540