2075252400 has 450 divisors, whose sum is σ = 8086180740. Its totient is φ = 509483520.

The previous prime is 2075252381. The next prime is 2075252419. The reversal of 2075252400 is 42525702.

2075252400 is a `hidden beast` number, since 2 + 0 + 7 + 5 + 252 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2075252381) and next prime (2075252419).

It is a tau number, because it is divible by the number of its divisors (450).

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 89 ways as a sum of consecutive naturals, for example, 5475411 + ... + 5475789.

Almost surely, 2^2075252400 is an apocalyptic number.

2075252400 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 2075252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043090370).

2075252400 is an abundant number, since it is smaller than the sum of its proper divisors (6010928340).

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

2075252400 is a wasteful number, since it uses less digits than its factorization.

2075252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2075252400 is about 45554.9382614004. The cubic root of 2075252400 is about 1275.5289155047.

The spelling of 2075252400 in words is "two billion, seventy-five million, two hundred fifty-two thousand, four hundred".