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2380949740224 = 2633111723671181
BaseRepresentation
bin100010101001011011101…
…010011101101011000000
322102121122110222202101000
4202221123222131223000
5303002141113141344
65021443200012000
7334006103604066
oct42513352355300
98377573882330
102380949740224
1183883406a040
1232553b301000
131436a41b8543
148334a954036
1541e0220ea69
hex22a5ba9dac0

2380949740224 has 672 divisors, whose sum is σ = 8140454046720. Its totient is φ = 676635033600.

The previous prime is 2380949740219. The next prime is 2380949740231. The reversal of 2380949740224 is 4220479490832.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2016044914 + ... + 2016046094.

Almost surely, 22380949740224 is an apocalyptic number.

2380949740224 is a gapful number since it is divisible by the number (24) 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 2380949740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070227023360).

2380949740224 is an abundant number, since it is smaller than the sum of its proper divisors (5759504306496).

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

2380949740224 is a wasteful number, since it uses less digits than its factorization.

2380949740224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2380949740224 in words is "two trillion, three hundred eighty billion, nine hundred forty-nine million, seven hundred forty thousand, two hundred twenty-four".