2078210400 has 288 divisors, whose sum is σ = 7812499968. Its totient is φ = 470016000.

The previous prime is 2078210371. The next prime is 2078210411. The reversal of 2078210400 is 40128702.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1729800 + ... + 1731000.

It is an arithmetic number, because the mean of its divisors is an integer number (27126736).

Almost surely, 2^2078210400 is an apocalyptic number.

2078210400 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 2078210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906249984).

2078210400 is an abundant number, since it is smaller than the sum of its proper divisors (5734289568).

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

2078210400 is a wasteful number, since it uses less digits than its factorization.

2078210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2078210400 is about 45587.3929941163. The cubic root of 2078210400 is about 1276.1346608275.

The spelling of 2078210400 in words is "two billion, seventy-eight million, two hundred ten thousand, four hundred".