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2119588020 = 22335111013533
BaseRepresentation
bin111111001010110…
…0101100010110100
312110201101020011000
41332111211202310
513320103304040
6550154043300
7103345125624
oct17625454264
95421336130
102119588020
119984a7940
124b1a19530
1327a1888c4
14161708884
15c6136130
hex7e5658b4

2119588020 has 192 divisors, whose sum is σ = 7267034880. Its totient is φ = 508608000.

The previous prime is 2119587979. The next prime is 2119588043. The reversal of 2119588020 is 208859112.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 598174 + ... + 601706.

It is an arithmetic number, because the mean of its divisors is an integer number (37849140).

Almost surely, 22119588020 is an apocalyptic number.

2119588020 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 2119588020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633517440).

2119588020 is an abundant number, since it is smaller than the sum of its proper divisors (5147446860).

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

2119588020 is a wasteful number, since it uses less digits than its factorization.

2119588020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 2119588020 is about 46038.9836986005. The cubic root of 2119588020 is about 1284.5484380841.

The spelling of 2119588020 in words is "two billion, one hundred nineteen million, five hundred eighty-eight thousand, twenty".