2672078400 has 252 divisors, whose sum is σ = 9600122532. Its totient is φ = 704839680.

The previous prime is 2672078341. The next prime is 2672078407. The reversal of 2672078400 is 48702762.

It can be written as a sum of positive squares in 6 ways, for example, as 4562496 + 2667515904 = 2136^2 + 51648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2672078407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1395844 + ... + 1397756.

Almost surely, 2^2672078400 is an apocalyptic number.

2672078400 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 2672078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800061266).

2672078400 is an abundant number, since it is smaller than the sum of its proper divisors (6928044132).

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

2672078400 is a wasteful number, since it uses less digits than its factorization.

2672078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2672078400 is about 51692.1502744856. The cubic root of 2672078400 is about 1387.6599864217.

The spelling of 2672078400 in words is "two billion, six hundred seventy-two million, seventy-eight thousand, four hundred".