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2874674880 = 2633571129149
BaseRepresentation
bin1010101101011000…
…0000111011000000
321102100012121121000
42223112000323000
521341404044010
61153130132000
7131144222220
oct25326007300
97370177530
102874674880
111245751870
12682881000
1336a74486c
141d3b02080
1511c58a7c0
hexab580ec0

2874674880 has 896 divisors, whose sum is σ = 13167360000. Its totient is φ = 572866560.

The previous prime is 2874674843. The next prime is 2874674893. The reversal of 2874674880 is 884764782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19293046 + ... + 19293194.

Almost surely, 22874674880 is an apocalyptic number.

2874674880 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 2874674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583680000).

2874674880 is an abundant number, since it is smaller than the sum of its proper divisors (10292685120).

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

2874674880 is a wasteful number, since it uses less digits than its factorization.

2874674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 2874674880 is about 53615.9946284688. The cubic root of 2874674880 is about 1421.8798880193.

The spelling of 2874674880 in words is "two billion, eight hundred seventy-four million, six hundred seventy-four thousand, eight hundred eighty".