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2462422420 = 2251983101773
BaseRepresentation
bin1001001011000101…
…1001010110010100
320100121111000112101
42102301121112110
520020340004140
61044202131444
7115010150053
oct22261312624
96317430471
102462422420
111053a78457
125887b0b84
133032033b3
1419506c39a
15e62a699a
hex92c59594

2462422420 has 96 divisors (see below), whose sum is σ = 5570570880. Its totient is φ = 911577600.

The previous prime is 2462422399. The next prime is 2462422423. The reversal of 2462422420 is 242242642.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2462422423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3185154 + ... + 3185926.

It is an arithmetic number, because the mean of its divisors is an integer number (58026780).

Almost surely, 22462422420 is an apocalyptic number.

2462422420 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 2462422420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785285440).

2462422420 is an abundant number, since it is smaller than the sum of its proper divisors (3108148460).

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

2462422420 is a wasteful number, since it uses less digits than its factorization.

2462422420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 2462422420 is about 49622.8014122540. The cubic root of 2462422420 is about 1350.3743671398.

The spelling of 2462422420 in words is "two billion, four hundred sixty-two million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 83 95 101 166 190 202 332 380 404 415 505 773 830 1010 1546 1577 1660 1919 2020 3092 3154 3838 3865 6308 7676 7730 7885 8383 9595 14687 15460 15770 16766 19190 29374 31540 33532 38380 41915 58748 64159 73435 78073 83830 128318 146870 156146 159277 167660 256636 293740 312292 318554 320795 390365 637108 641590 780730 796385 1219021 1283180 1483387 1561460 1592770 2438042 2966774 3185540 4876084 5933548 6095105 6480059 7416935 12190210 12960118 14833870 24380420 25920236 29667740 32400295 64800590 123121121 129601180 246242242 492484484 615605605 1231211210 2462422420