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2380652640 = 25335737549
BaseRepresentation
bin1000110111100101…
…1110000001100000
320010220121200111000
42031321132001200
514333421341030
61032121352000
7112665133152
oct21571360140
96126550430
102380652640
1110118a8623
12565338600
132bc2a3602
14188264ad2
15de003860
hex8de5e060

2380652640 has 192 divisors, whose sum is σ = 8447544000. Its totient is φ = 626061312.

The previous prime is 2380652629. The next prime is 2380652689. The reversal of 2380652640 is 462560832.

2380652640 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 6 + 5 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2380652595 and 2380652604.

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, 311586 + ... + 319134.

It is an arithmetic number, because the mean of its divisors is an integer number (43997625).

Almost surely, 22380652640 is an apocalyptic number.

2380652640 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 2380652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223772000).

2380652640 is an abundant number, since it is smaller than the sum of its proper divisors (6066891360).

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

2380652640 is a wasteful number, since it uses less digits than its factorization.

2380652640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7646 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2380652640 is about 48791.9321199725. The cubic root of 2380652640 is about 1335.2584779148.

The spelling of 2380652640 in words is "two billion, three hundred eighty million, six hundred fifty-two thousand, six hundred forty".