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2492880 = 2435131747
BaseRepresentation
bin1001100000100111010000
311200122120220
421200213100
51114233010
6125233040
730121605
oct11404720
94618526
102492880
111452a35
12a02780
136938a0
1448c6ac
15343970
hex2609d0

2492880 has 160 divisors (see below), whose sum is σ = 8999424. Its totient is φ = 565248.

The previous prime is 2492879. The next prime is 2492899. The reversal of 2492880 is 882942.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53017 + ... + 53063.

22492880 is an apocalyptic number.

2492880 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 2492880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712).

2492880 is an abundant number, since it is smaller than the sum of its proper divisors (6506544).

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

2492880 is a wasteful number, since it uses less digits than its factorization.

2492880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2492880 is about 1578.8856830056. The cubic root of 2492880 is about 135.5919139634.

The spelling of 2492880 in words is "two million, four hundred ninety-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 47 48 51 52 60 65 68 78 80 85 94 102 104 120 130 136 141 156 170 188 195 204 208 221 235 240 255 260 272 282 312 340 376 390 408 442 470 510 520 564 611 624 663 680 705 752 780 799 816 884 940 1020 1040 1105 1128 1222 1326 1360 1410 1560 1598 1768 1833 1880 2040 2210 2256 2397 2444 2652 2820 3055 3120 3196 3315 3536 3666 3760 3995 4080 4420 4794 4888 5304 5640 6110 6392 6630 7332 7990 8840 9165 9588 9776 10387 10608 11280 11985 12220 12784 13260 14664 15980 17680 18330 19176 20774 23970 24440 26520 29328 31161 31960 36660 38352 41548 47940 48880 51935 53040 62322 63920 73320 83096 95880 103870 124644 146640 155805 166192 191760 207740 249288 311610 415480 498576 623220 830960 1246440 2492880