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2058899040 = 2533511371171
BaseRepresentation
bin111101010111000…
…0100111001100000
312022111011220112000
41322232010321200
513204034232130
6540145204000
7102010232052
oct17256047140
95274156460
102058899040
11967216360
12495630600
1326a72a173
1415762b8d2
15c0b49260
hex7ab84e60

2058899040 has 384 divisors, whose sum is σ = 8080611840. Its totient is φ = 485222400.

The previous prime is 2058898949. The next prime is 2058899041. The reversal of 2058899040 is 409988502.

2058899040 is a `hidden beast` number, since 20 + 588 + 9 + 9 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2058899041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1757655 + ... + 1758825.

It is an arithmetic number, because the mean of its divisors is an integer number (21043260).

Almost surely, 22058899040 is an apocalyptic number.

2058899040 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 2058899040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040305920).

2058899040 is an abundant number, since it is smaller than the sum of its proper divisors (6021712800).

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

2058899040 is a wasteful number, since it uses less digits than its factorization.

2058899040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2058899040 is about 45375.0927271780. The cubic root of 2058899040 is about 1272.1696107043.

The spelling of 2058899040 in words is "two billion, fifty-eight million, eight hundred ninety-nine thousand, forty".