2955952440 has 480 divisors, whose sum is σ = 11853460080. Its totient is φ = 658409472.

The previous prime is 2955952421. The next prime is 2955952463. The reversal of 2955952440 is 442595592.

2955952440 is a `hidden beast` number, since 2 + 9 + 559 + 52 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6826464 + ... + 6826896.

Almost surely, 2^2955952440 is an apocalyptic number.

2955952440 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 2955952440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926730040).

2955952440 is an abundant number, since it is smaller than the sum of its proper divisors (8897507640).

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

2955952440 is a wasteful number, since it uses less digits than its factorization.

2955952440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 2955952440 is about 54368.6714937932. The cubic root of 2955952440 is about 1435.1561202343.

The spelling of 2955952440 in words is "two billion, nine hundred fifty-five million, nine hundred fifty-two thousand, four hundred forty".