2074376400 has 120 divisors (see below), whose sum is σ = 6719927040. Its totient is φ = 546923520.

The previous prime is 2074376393. The next prime is 2074376429. The reversal of 2074376400 is 46734702.

2074376400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97089 + ... + 116511.

It is an arithmetic number, because the mean of its divisors is an integer number (55999392).

Almost surely, 2^2074376400 is an apocalyptic number.

2074376400 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 2074376400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359963520).

2074376400 is an abundant number, since it is smaller than the sum of its proper divisors (4645550640).

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

2074376400 is a wasteful number, since it uses less digits than its factorization.

2074376400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19533 (or 19522 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 2074376400 is about 45545.3224821166. The cubic root of 2074376400 is about 1275.3494159595.

The spelling of 2074376400 in words is "two billion, seventy-four million, three hundred seventy-six thousand, four hundred".