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2080236400 = 24521131101151
BaseRepresentation
bin111101111111101…
…1110001101110000
312100222022221212121
41323333132031300
513230020031100
6542230404024
7102356501104
oct17377361560
95328287777
102080236400
1197826a440
124a0800614
13271c8b218
1415a3c3904
15c296151a
hex7bfde370

2080236400 has 240 divisors, whose sum is σ = 5721348096. Its totient is φ = 720000000.

The previous prime is 2080236391. The next prime is 2080236407. The reversal of 2080236400 is 46320802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2080236407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13776325 + ... + 13776475.

Almost surely, 22080236400 is an apocalyptic number.

2080236400 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 2080236400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860674048).

2080236400 is an abundant number, since it is smaller than the sum of its proper divisors (3641111696).

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

2080236400 is a wasteful number, since it uses less digits than its factorization.

2080236400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2080236400 is about 45609.6086367774. The cubic root of 2080236400 is about 1276.5492176841.

The spelling of 2080236400 in words is "two billion, eighty million, two hundred thirty-six thousand, four hundred".