2738132400 has 60 divisors (see below), whose sum is σ = 8771154632. Its totient is φ = 730168320.

The previous prime is 2738132363. The next prime is 2738132413. The reversal of 2738132400 is 42318372.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1139689 + ... + 1142088.

Almost surely, 2^2738132400 is an apocalyptic number.

2738132400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2738132400 is an abundant number, since it is smaller than the sum of its proper divisors (6033022232).

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

2738132400 is a wasteful number, since it uses less digits than its factorization.

2738132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281798 (or 2281787 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2738132400 is about 52327.1669403189. The cubic root of 2738132400 is about 1399.0013967211.

The spelling of 2738132400 in words is "two billion, seven hundred thirty-eight million, one hundred thirty-two thousand, four hundred".