2961401200 has 60 divisors (see below), whose sum is σ = 7144765920. Its totient is φ = 1179566080.

The previous prime is 2961401143. The next prime is 2961401213. The reversal of 2961401200 is 21041692.

It is a super-2 number, since 2×2961401200² = 17539794134722880000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 80112 + ... + 111088.

It is an arithmetic number, because the mean of its divisors is an integer number (119079432).

Almost surely, 2^2961401200 is an apocalyptic number.

2961401200 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 2961401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572382960).

2961401200 is an abundant number, since it is smaller than the sum of its proper divisors (4183364720).

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

2961401200 is a wasteful number, since it uses less digits than its factorization.

2961401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31234 (or 31223 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2961401200 is about 54418.7577954514. The cubic root of 2961401200 is about 1436.0373952806.

Adding to 2961401200 its reverse (21041692), we get a palindrome (2982442892).

The spelling of 2961401200 in words is "two billion, nine hundred sixty-one million, four hundred one thousand, two hundred".