2027414400 has 384 divisors, whose sum is σ = 7412739840. Its totient is φ = 482918400.

The previous prime is 2027414383. The next prime is 2027414401. The reversal of 2027414400 is 44147202.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2027414400² = 8220818298654720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027414401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7708669 + ... + 7708931.

It is an arithmetic number, because the mean of its divisors is an integer number (19304010).

Almost surely, 2^2027414400 is an apocalyptic number.

2027414400 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 2027414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706369920).

2027414400 is an abundant number, since it is smaller than the sum of its proper divisors (5385325440).

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

2027414400 is a wasteful number, since it uses less digits than its factorization.

2027414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 2027414400 is about 45026.8186750963. The cubic root of 2027414400 is about 1265.6516090732.

The spelling of 2027414400 in words is "two billion, twenty-seven million, four hundred fourteen thousand, four hundred".