2961774400 has 336 divisors, whose sum is σ = 8444959488. Its totient is φ = 1013760000.

The previous prime is 2961774353. The next prime is 2961774421. The reversal of 2961774400 is 44771692.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19614325 + ... + 19614475.

It is an arithmetic number, because the mean of its divisors is an integer number (25133808).

Almost surely, 2^2961774400 is an apocalyptic number.

2961774400 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 2961774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222479744).

2961774400 is an abundant number, since it is smaller than the sum of its proper divisors (5483185088).

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

2961774400 is a wasteful number, since it uses less digits than its factorization.

2961774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 2961774400 is about 54422.1866521366. The cubic root of 2961774400 is about 1436.0977165732.

The spelling of 2961774400 in words is "two billion, nine hundred sixty-one million, seven hundred seventy-four thousand, four hundred".