2411130400 has 576 divisors, whose sum is σ = 7919493120. Its totient is φ = 696729600.

The previous prime is 2411130391. The next prime is 2411130427. The reversal of 2411130400 is 40311142.

2411130400 = T₇₉₈₁ + T₇₉₈₂ + ... + T₈₀₅₅.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56072779 + ... + 56072821.

It is an arithmetic number, because the mean of its divisors is an integer number (13749120).

Almost surely, 2^2411130400 is an apocalyptic number.

2411130400 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 2411130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959746560).

2411130400 is an abundant number, since it is smaller than the sum of its proper divisors (5508362720).

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

2411130400 is a wasteful number, since it uses less digits than its factorization.

2411130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2411130400 is about 49103.2626207261. The cubic root of 2411130400 is about 1340.9324467165.

Adding to 2411130400 its reverse (40311142), we get a palindrome (2451441542).

The spelling of 2411130400 in words is "two billion, four hundred eleven million, one hundred thirty thousand, four hundred".