2720117400 has 576 divisors, whose sum is σ = 11541761280. Its totient is φ = 520934400.

The previous prime is 2720117383. The next prime is 2720117441. The reversal of 2720117400 is 47110272.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4203877 + ... + 4204523.

It is an arithmetic number, because the mean of its divisors is an integer number (20037780).

Almost surely, 2^2720117400 is an apocalyptic number.

2720117400 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 2720117400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5770880640).

2720117400 is an abundant number, since it is smaller than the sum of its proper divisors (8821643880).

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

2720117400 is a wasteful number, since it uses less digits than its factorization.

2720117400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 2720117400 is about 52154.7447505977. The cubic root of 2720117400 is about 1395.9264923542.

Adding to 2720117400 its reverse (47110272), we get a palindrome (2767227672).

The spelling of 2720117400 in words is "two billion, seven hundred twenty million, one hundred seventeen thousand, four hundred".