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2402040000 = 2635437541
BaseRepresentation
bin1000111100101100…
…0011100011000000
320012101212021102110
42033023003203000
514404410240000
61034204015320
7113345001033
oct21713034300
96171767373
102402040000
111022986228
12570531540
132c3851359
1418b03101a
15e0d2a850
hex8f2c38c0

2402040000 has 280 divisors, whose sum is σ = 8171421808. Its totient is φ = 622080000.

The previous prime is 2402039993. The next prime is 2402040001. The reversal of 2402040000 is 402042.

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 not an unprimeable number, because it can be changed into a prime (2402040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4439730 + ... + 4440270.

Almost surely, 22402040000 is an apocalyptic number.

2402040000 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 2402040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085710904).

2402040000 is an abundant number, since it is smaller than the sum of its proper divisors (5769381808).

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

2402040000 is an equidigital number, since it uses as much as digits as its factorization.

2402040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 588 counting only the distinct ones).

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

The square root of 2402040000 is about 49010.6110959657. The cubic root of 2402040000 is about 1339.2451380723.

Adding to 2402040000 its reverse (402042), we get a palindrome (2402442042).

The spelling of 2402040000 in words is "two billion, four hundred two million, forty thousand".