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2072786880 = 2635171071187
BaseRepresentation
bin111101110001100…
…0011011111000000
312100110022111001110
41323203003133000
513221113140010
6541403003320
7102236253303
oct17343033700
95313274043
102072786880
1197404150a
1249a209540
13270580518
14159404b3a
15c1e8e120
hex7b8c37c0

2072786880 has 224 divisors, whose sum is σ = 7039270656. Its totient is φ = 514932736.

The previous prime is 2072786867. The next prime is 2072786899. The reversal of 2072786880 is 886872702.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1745647 + ... + 1746833.

Almost surely, 22072786880 is an apocalyptic number.

2072786880 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 2072786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519635328).

2072786880 is an abundant number, since it is smaller than the sum of its proper divisors (4966483776).

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

2072786880 is a wasteful number, since it uses less digits than its factorization.

2072786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 2072786880 is about 45527.8692670764. The cubic root of 2072786880 is about 1275.0235812632.

It can be divided in two parts, 2072786 and 880, that added together give a triangular number (2073666 = T2036).

The spelling of 2072786880 in words is "two billion, seventy-two million, seven hundred eighty-six thousand, eight hundred eighty".