2701130400 has 108 divisors (see below), whose sum is σ = 9524886462. Its totient is φ = 720299520.

The previous prime is 2701130359. The next prime is 2701130423. The reversal of 2701130400 is 40311072.

It can be written as a sum of positive squares in 3 ways, for example, as 2483626896 + 217503504 = 49836^2 + 14748^2 .

It is a super-2 number, since 2×2701130400² = 14592210875608320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 180379 + ... + 194778.

Almost surely, 2^2701130400 is an apocalyptic number.

2701130400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2701130400 is an abundant number, since it is smaller than the sum of its proper divisors (6823756062).

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

2701130400 is a wasteful number, since it uses less digits than its factorization.

2701130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375183 (or 375167 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2701130400 is about 51972.4003678876. The cubic root of 2701130400 is about 1392.6709508231.

Adding to 2701130400 its reverse (40311072), we get a palindrome (2741441472).

The spelling of 2701130400 in words is "two billion, seven hundred one million, one hundred thirty thousand, four hundred".