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2400202404020 = 225410112926291
BaseRepresentation
bin100010111011010111001…
…101100011000010110100
322111110100020021102002002
4202323113031203002310
5303311103303412040
65034345431234432
7335260152545201
oct42732715430264
98443306242062
102400202404020
11845a13758333
12329212b18a18
13145451abbcb5
148425589cca8
154267c557a15
hex22ed73630b4

2400202404020 has 24 divisors (see below), whose sum is σ = 5040549675168. Its totient is φ = 960057223200.

The previous prime is 2400202403971. The next prime is 2400202404071. The reversal of 2400202404020 is 204042020042.

2400202404020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2400202403983 and 2400202404001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 642926 + ... + 2283365.

It is an arithmetic number, because the mean of its divisors is an integer number (210022903132).

Almost surely, 22400202404020 is an apocalyptic number.

2400202404020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400202404020 is an abundant number, since it is smaller than the sum of its proper divisors (2640347271148).

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

2400202404020 is a wasteful number, since it uses less digits than its factorization.

2400202404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967311 (or 2967309 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2400202404020 its reverse (204042020042), we get a palindrome (2604244424062).

The spelling of 2400202404020 in words is "two trillion, four hundred billion, two hundred two million, four hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 41011 82022 164044 205055 410110 820220 2926291 5852582 11705164 14631455 29262910 58525820 120010120201 240020240402 480040480804 600050601005 1200101202010 2400202404020