2987400 has 96 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 733440.

The previous prime is 2987371. The next prime is 2987407. The reversal of 2987400 is 47892.

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

It is not an unprimeable number, because it can be changed into a prime (2987407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7609 + ... + 7991.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

2^2987400 is an apocalyptic number.

2987400 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 2987400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

2987400 is an abundant number, since it is smaller than the sum of its proper divisors (7011960).

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

2987400 is a wasteful number, since it uses less digits than its factorization.

2987400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2987400 is about 1728.4096736596. The cubic root of 2987400 is about 144.0227587485.

The spelling of 2987400 in words is "two million, nine hundred eighty-seven thousand, four hundred".