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2576420000 = 25547211239
BaseRepresentation
bin1001100110010001…
…0000110010100000
320122112222200210222
42121210100302200
520234030420000
61103353342212
7120563131400
oct23144206240
96575880728
102576420000
11110235a530
125baa07968
13320a0819b
141a6264800
151012c3a85
hex99910ca0

2576420000 has 360 divisors, whose sum is σ = 8077164480. Its totient is φ = 799680000.

The previous prime is 2576419999. The next prime is 2576420027. The reversal of 2576420000 is 246752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10779881 + ... + 10780119.

It is an arithmetic number, because the mean of its divisors is an integer number (22436568).

Almost surely, 22576420000 is an apocalyptic number.

2576420000 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 2576420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038582240).

2576420000 is an abundant number, since it is smaller than the sum of its proper divisors (5500744480).

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

2576420000 is a wasteful number, since it uses less digits than its factorization.

2576420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 2576420000 is about 50758.4475727932. The cubic root of 2576420000 is about 1370.8992976658.

Adding to 2576420000 its reverse (246752), we get a palindrome (2576666752).

The spelling of 2576420000 in words is "two billion, five hundred seventy-six million, four hundred twenty thousand".