2667974400 has 648 divisors, whose sum is σ = 11762892960. Its totient is φ = 561807360.

The previous prime is 2667974399. The next prime is 2667974423. The reversal of 2667974400 is 44797662.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5241346 + ... + 5241854.

Almost surely, 2^2667974400 is an apocalyptic number.

2667974400 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 2667974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881446480).

2667974400 is an abundant number, since it is smaller than the sum of its proper divisors (9094918560).

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

2667974400 is a wasteful number, since it uses less digits than its factorization.

2667974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2667974400 is about 51652.4384709957. The cubic root of 2667974400 is about 1386.9491945689.

The spelling of 2667974400 in words is "two billion, six hundred sixty-seven million, nine hundred seventy-four thousand, four hundred".