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2423400000 = 263557577
BaseRepresentation
bin1001000001110010…
…0010011001000000
320020220001110211120
42100130202121000
514430342300000
61040245512240
7114024363060
oct22034423100
96226043746
102423400000
111033a4531a
12577712680
132c80bc7c8
1418dbd13a0
15e2b496a0
hex90722640

2423400000 has 336 divisors, whose sum is σ = 9175162752. Its totient is φ = 552960000.

The previous prime is 2423399981. The next prime is 2423400059. The reversal of 2423400000 is 43242.

It is a happy number.

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 (15).

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, 4199712 + ... + 4200288.

It is an arithmetic number, because the mean of its divisors is an integer number (27307032).

Almost surely, 22423400000 is an apocalyptic number.

2423400000 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 2423400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587581376).

2423400000 is an abundant number, since it is smaller than the sum of its proper divisors (6751762752).

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

2423400000 is an frugal number, since it uses more digits than its factorization.

2423400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2423400000 is about 49228.0407897775. The cubic root of 2423400000 is about 1343.2031486757.

Adding to 2423400000 its reverse (43242), we get a palindrome (2423443242).

The spelling of 2423400000 in words is "two billion, four hundred twenty-three million, four hundred thousand".