2951680 has 40 divisors (see below), whose sum is σ = 7083252. Its totient is φ = 1179648.

The previous prime is 2951657. The next prime is 2951687. The reversal of 2951680 is 861592.

It can be written as a sum of positive squares in 2 ways, for example, as 2930944 + 20736 = 1712^2 + 144^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2951687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1984 + ... + 3136.

2^2951680 is an apocalyptic number.

2951680 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 2951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541626).

2951680 is an abundant number, since it is smaller than the sum of its proper divisors (4131572).

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

2951680 is an equidigital number, since it uses as much as digits as its factorization.

2951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 2951680 is about 1718.0454010299. The cubic root of 2951680 is about 143.4464343775.

The spelling of 2951680 in words is "two million, nine hundred fifty-one thousand, six hundred eighty".