2961536400 has 135 divisors (see below), whose sum is σ = 10288697601. Its totient is φ = 788872320.

The previous prime is 2961536387. The next prime is 2961536407. The reversal of 2961536400 is 46351692.

It is a happy number.

The square root of 2961536400 is 54420.

It is a perfect power (a square), and thus also a powerful number.

2961536400 is a `hidden beast` number, since 2 + 9 + 6 + 1 + 5 + 3 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1066153104 + 1895383296 = 32652^2 + 43536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2961536407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3264747 + ... + 3265653.

Almost surely, 2^2961536400 is an apocalyptic number.

2961536400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2961536400 is the 54420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2961536400

2961536400 is an abundant number, since it is smaller than the sum of its proper divisors (7327161201).

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

2961536400 is an equidigital number, since it uses as much as digits as its factorization.

2961536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 2961536400 is about 1436.0592485958.

Multiplying 2961536400 by its sum of digits (36), we get a square (106615310400 = 326520²).

2961536400 divided by its sum of digits (36) gives a square (82264900 = 9070²).

The spelling of 2961536400 in words is "two billion, nine hundred sixty-one million, five hundred thirty-six thousand, four hundred".