2290414253400 has 1152 divisors, whose sum is σ = 10551749644800. Its totient is φ = 430877491200.

The previous prime is 2290414253353. The next prime is 2290414253401. The reversal of 2290414253400 is 43524140922.

It is a happy number.

2290414253400 is a `hidden beast` number, since 2 + 290 + 4 + 1 + 4 + 25 + 340 + 0 = 666.

2290414253400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290414253401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52885755 + ... + 52929045.

It is an arithmetic number, because the mean of its divisors is an integer number (9159504900).

Almost surely, 2^{2290414253400} is an apocalyptic number.

2290414253400 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 2290414253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275874822400).

2290414253400 is an abundant number, since it is smaller than the sum of its proper divisors (8261335391400).

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

2290414253400 is a wasteful number, since it uses less digits than its factorization.

2290414253400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43369 (or 43357 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2290414253400 in words is "two trillion, two hundred ninety billion, four hundred fourteen million, two hundred fifty-three thousand, four hundred".