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2990022480 = 243254152809
BaseRepresentation
bin1011001000111000…
…0001111101010000
321201101020212202100
42302032001331100
522110421204410
61212410320400
7134044525464
oct26216017520
97641225670
102990022480
1112a4876165
126b5429100
133885ccc93
1420516a4a4
151277728c0
hexb2381f50

2990022480 has 60 divisors (see below), whose sum is σ = 10041494580. Its totient is φ = 797339136.

The previous prime is 2990022443. The next prime is 2990022487. The reversal of 2990022480 is 842200992.

It can be written as a sum of positive squares in 2 ways, for example, as 683717904 + 2306304576 = 26148^2 + 48024^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2990022487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2075685 + ... + 2077124.

It is an arithmetic number, because the mean of its divisors is an integer number (167358243).

Almost surely, 22990022480 is an apocalyptic number.

2990022480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2990022480 is an abundant number, since it is smaller than the sum of its proper divisors (7051472100).

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

2990022480 is a wasteful number, since it uses less digits than its factorization.

2990022480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152828 (or 4152819 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2990022480 is about 54681.0980138475. The cubic root of 2990022480 is about 1440.6488973627.

The spelling of 2990022480 in words is "two billion, nine hundred ninety million, twenty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4152809 8305618 12458427 16611236 20764045 24916854 33222472 37375281 41528090 49833708 62292135 66444944 74750562 83056180 99667416 124584270 149501124 166112360 186876405 199334832 249168540 299002248 332224720 373752810 498337080 598004496 747505620 996674160 1495011240 2990022480