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2974504960 = 21157172441
BaseRepresentation
bin1011000101001011…
…0101100000000000
321200022001111201101
42301102311200000
522042433124320
61211053544144
7133465606060
oct26122654000
97608044641
102974504960
111297037669
126b01a5054
13385328c0b
1420308b3a0
15126209c0a
hexb14b5800

2974504960 has 192 divisors, whose sum is σ = 8639991360. Its totient is φ = 959447040.

The previous prime is 2974504957. The next prime is 2974504979. The reversal of 2974504960 is 694054792.

It is a self number, because there is not a number n which added to its sum of digits gives 2974504960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1217340 + ... + 1219780.

It is an arithmetic number, because the mean of its divisors is an integer number (44999955).

Almost surely, 22974504960 is an apocalyptic number.

2974504960 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 2974504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319995680).

2974504960 is an abundant number, since it is smaller than the sum of its proper divisors (5665486400).

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

2974504960 is a wasteful number, since it uses less digits than its factorization.

2974504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The square root of 2974504960 is about 54539.0223601414. The cubic root of 2974504960 is about 1438.1523628554.

The spelling of 2974504960 in words is "two billion, nine hundred seventy-four million, five hundred four thousand, nine hundred sixty".