2650190400 has 945 divisors, whose sum is σ = 11594539803. Its totient is φ = 593049600.

The previous prime is 2650190381. The next prime is 2650190419. The reversal of 2650190400 is 40910562.

The square root of 2650190400 is 51480.

It is a perfect power (a square), and thus also a powerful number.

2650190400 is a `hidden beast` number, since 2 + 650 + 1 + 9 + 0 + 4 + 0 + 0 = 666.

2650190400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2650190381) and next prime (2650190419).

It can be written as a sum of positive squares in 4 ways, for example, as 683090496 + 1967099904 = 26136^2 + 44352^2 .

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 134 ways as a sum of consecutive naturals, for example, 203860794 + ... + 203860806.

Almost surely, 2^2650190400 is an apocalyptic number.

2650190400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2650190400 is the 51480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2650190400

2650190400 is an abundant number, since it is smaller than the sum of its proper divisors (8944349403).

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

2650190400 is a wasteful number, since it uses less digits than its factorization.

2650190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 2650190400 is about 1383.8606450843.

The spelling of 2650190400 in words is "two billion, six hundred fifty million, one hundred ninety thousand, four hundred".