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2044020000 = 253541119163
BaseRepresentation
bin111100111010101…
…0100010100100000
312021110011222022110
41321311110110200
513141232120000
6534454235320
7101436611661
oct17165242440
95243158273
102044020000
11959883530
12490655b40
1326761a8b9
14155677368
15be6aa850
hex79d54520

2044020000 has 480 divisors, whose sum is σ = 7746520320. Its totient is φ = 466560000.

The previous prime is 2044019983. The next prime is 2044020029. The reversal of 2044020000 is 204402.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12539919 + ... + 12540081.

It is an arithmetic number, because the mean of its divisors is an integer number (16138584).

Almost surely, 22044020000 is an apocalyptic number.

2044020000 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 2044020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873260160).

2044020000 is an abundant number, since it is smaller than the sum of its proper divisors (5702500320).

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

2044020000 is a wasteful number, since it uses less digits than its factorization.

2044020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2044020000 is about 45210.8394082658. The cubic root of 2044020000 is about 1269.0976705807.

Adding to 2044020000 its reverse (204402), we get a palindrome (2044224402).

Multiplying 2044020000 by its reverse (204402), we get a square (417801776040000 = 204402002).

2044020000 divided by its reverse (204402) gives a 4-th power (10000 = 104).

It can be divided in two parts, 204 and 4020000, that added together give a palindrome (4020204).

The spelling of 2044020000 in words is "two billion, forty-four million, twenty thousand".