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2974466880 = 2633571117263
BaseRepresentation
bin1011000101001010…
…1100001101000000
321200021222120111000
42301102230031000
522042430420010
61211053052000
7133465360050
oct26122541500
97607876430
102974466880
111297010aa0
126b0187000
13385314798
1420307b560
151261ed7c0
hexb14ac340

2974466880 has 896 divisors, whose sum is σ = 13904732160. Its totient is φ = 579502080.

The previous prime is 2974466843. The next prime is 2974466899. The reversal of 2974466880 is 886644792.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11309629 + ... + 11309891.

Almost surely, 22974466880 is an apocalyptic number.

2974466880 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 2974466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6952366080).

2974466880 is an abundant number, since it is smaller than the sum of its proper divisors (10930265280).

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

2974466880 is a wasteful number, since it uses less digits than its factorization.

2974466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2974466880 is about 54538.6732511894. The cubic root of 2974466880 is about 1438.1462256913.

The spelling of 2974466880 in words is "two billion, nine hundred seventy-four million, four hundred sixty-six thousand, eight hundred eighty".