2967480 has 48 divisors (see below), whose sum is σ = 9645480. Its totient is φ = 791232.

The previous prime is 2967443. The next prime is 2967491. The reversal of 2967480 is 847692.

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

It is a d-powerful number, because it can be written as 2⁵ + 9² + 6⁶ + 7⁷ + 4² + 8⁷ + 0 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3762 + ... + 4481.

2^2967480 is an apocalyptic number.

2967480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2967480 is an abundant number, since it is smaller than the sum of its proper divisors (6678000).

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

2967480 is a wasteful number, since it uses less digits than its factorization.

2967480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8260 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2967480 is about 1722.6375126532. The cubic root of 2967480 is about 143.7019297367.

It can be divided in two parts, 296 and 7480, that added together give a 5-th power (7776 = 6⁵).

The spelling of 2967480 in words is "two million, nine hundred sixty-seven thousand, four hundred eighty".