2651600 has 60 divisors (see below), whose sum is σ = 7288224. Its totient is φ = 908160.

The previous prime is 2651581. The next prime is 2651603. The reversal of 2651600 is 61562.

2651600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2651603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2327 + ... + 3273.

2^2651600 is an apocalyptic number.

2651600 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 2651600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644112).

2651600 is an abundant number, since it is smaller than the sum of its proper divisors (4636624).

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

2651600 is a wasteful number, since it uses less digits than its factorization.

2651600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2651600 is about 1628.3734215468. The cubic root of 2651600 is about 138.4105953776.

The spelling of 2651600 in words is "two million, six hundred fifty-one thousand, six hundred".