2960420400 has 720 divisors, whose sum is σ = 12872787200. Its totient is φ = 638254080.

The previous prime is 2960420389. The next prime is 2960420479. The reversal of 2960420400 is 40240692.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 12927486 + ... + 12927714.

Almost surely, 2^2960420400 is an apocalyptic number.

2960420400 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 2960420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6436393600).

2960420400 is an abundant number, since it is smaller than the sum of its proper divisors (9912366800).

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

2960420400 is a wasteful number, since it uses less digits than its factorization.

2960420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2960420400 is about 54409.7454506084. The cubic root of 2960420400 is about 1435.8788418456.

The spelling of 2960420400 in words is "two billion, nine hundred sixty million, four hundred twenty thousand, four hundred".