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2058719040 = 263257176007
BaseRepresentation
bin111101010110101…
…1000111101000000
312022110211202121100
41322231120331000
513204013002130
6540141254400
7102005552220
oct17255307500
95273752540
102058719040
119671030a4
12495564400
1326a696261
141575c2080
15c0b10c60
hex7ab58f40

2058719040 has 336 divisors, whose sum is σ = 8570195712. Its totient is φ = 442810368.

The previous prime is 2058719009. The next prime is 2058719071. The reversal of 2058719040 is 409178502.

2058719040 is a `hidden beast` number, since 20 + 587 + 19 + 0 + 40 = 666.

2058719040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2058719009) and next prime (2058719071).

It is a tau number, because it is divible by the number of its divisors (336).

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 = 2058718986 and 2058719004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339717 + ... + 345723.

Almost surely, 22058719040 is an apocalyptic number.

2058719040 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 2058719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285097856).

2058719040 is an abundant number, since it is smaller than the sum of its proper divisors (6511476672).

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

2058719040 is a wasteful number, since it uses less digits than its factorization.

2058719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6054 (or 6041 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2058719040 is about 45373.1092168037. The cubic root of 2058719040 is about 1272.1325363263.

The spelling of 2058719040 in words is "two billion, fifty-eight million, seven hundred nineteen thousand, forty".