2895488400 has 360 divisors, whose sum is σ = 11263904064. Its totient is φ = 632755200.

The previous prime is 2895488363. The next prime is 2895488447. The reversal of 2895488400 is 48845982.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2895488400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1351330 + ... + 1353470.

Almost surely, 2^2895488400 is an apocalyptic number.

2895488400 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 2895488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5631952032).

2895488400 is an abundant number, since it is smaller than the sum of its proper divisors (8368415664).

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

2895488400 is a wasteful number, since it uses less digits than its factorization.

2895488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 2895488400 is about 53809.7426122817. The cubic root of 2895488400 is about 1425.3032534042.

The spelling of 2895488400 in words is "two billion, eight hundred ninety-five million, four hundred eighty-eight thousand, four hundred".