2795642400 has 144 divisors (see below), whose sum is σ = 9322090848. Its totient is φ = 727296000.

The previous prime is 2795642351. The next prime is 2795642407. The reversal of 2795642400 is 42465972.

It is not an unprimeable number, because it can be changed into a prime (2795642407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84195 + ... + 112605.

It is an arithmetic number, because the mean of its divisors is an integer number (64736742).

Almost surely, 2^2795642400 is an apocalyptic number.

2795642400 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 2795642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661045424).

2795642400 is an abundant number, since it is smaller than the sum of its proper divisors (6526448448).

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

2795642400 is a wasteful number, since it uses less digits than its factorization.

2795642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28475 (or 28462 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2795642400 is about 52873.8347389330. The cubic root of 2795642400 is about 1408.7281927567.

The spelling of 2795642400 in words is "two billion, seven hundred ninety-five million, six hundred forty-two thousand, four hundred".