2955254400 has 576 divisors, whose sum is σ = 12252876480. Its totient is φ = 664289280.

The previous prime is 2955254387. The next prime is 2955254441. The reversal of 2955254400 is 44525592.

2955254400 is a `hidden beast` number, since 2 + 95 + 525 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 71 ways as a sum of consecutive naturals, for example, 21571132 + ... + 21571268.

It is an arithmetic number, because the mean of its divisors is an integer number (21272355).

Almost surely, 2^2955254400 is an apocalyptic number.

2955254400 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 2955254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126438240).

2955254400 is an abundant number, since it is smaller than the sum of its proper divisors (9297622080).

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

2955254400 is a wasteful number, since it uses less digits than its factorization.

2955254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2955254400 is about 54362.2516089979. The cubic root of 2955254400 is about 1435.0431419567.

Adding to 2955254400 its reverse (44525592), we get a palindrome (2999779992).

It can be divided in two parts, 295525 and 4400, that added together give a triangular number (299925 = T₇₇₄).

The spelling of 2955254400 in words is "two billion, nine hundred fifty-five million, two hundred fifty-four thousand, four hundred".