2078411400 has 480 divisors, whose sum is σ = 7940116800. Its totient is φ = 500774400.

The previous prime is 2078411369. The next prime is 2078411437. The reversal of 2078411400 is 41148702.

2078411400 is a `hidden beast` number, since 207 + 8 + 411 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14952531 + ... + 14952669.

It is an arithmetic number, because the mean of its divisors is an integer number (16541910).

Almost surely, 2^2078411400 is an apocalyptic number.

2078411400 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 2078411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970058400).

2078411400 is an abundant number, since it is smaller than the sum of its proper divisors (5861705400).

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

2078411400 is a wasteful number, since it uses less digits than its factorization.

2078411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2078411400 is about 45589.5974976748. The cubic root of 2078411400 is about 1276.1758011595.

The spelling of 2078411400 in words is "two billion, seventy-eight million, four hundred eleven thousand, four hundred".