2735990400 has 384 divisors, whose sum is σ = 10592447040. Its totient is φ = 611942400.

The previous prime is 2735990399. The next prime is 2735990401. The reversal of 2735990400 is 40995372.

It is an interprime number because it is at equal distance from previous prime (2735990399) and next prime (2735990401).

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2735990401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1371804 + ... + 1373796.

Almost surely, 2^2735990400 is an apocalyptic number.

2735990400 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 2735990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296223520).

2735990400 is an abundant number, since it is smaller than the sum of its proper divisors (7856456640).

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

2735990400 is a wasteful number, since it uses less digits than its factorization.

2735990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 2735990400 is about 52306.6955561140. The cubic root of 2735990400 is about 1398.6364956002.

The spelling of 2735990400 in words is "two billion, seven hundred thirty-five million, nine hundred ninety thousand, four hundred".