2800980 has 240 divisors, whose sum is σ = 11383680. Its totient is φ = 559872.

The previous prime is 2800979. The next prime is 2800981. The reversal of 2800980 is 890082.

It is an interprime number because it is at equal distance from previous prime (2800979) and next prime (2800981).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2800981) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 147411 + ... + 147429.

It is an arithmetic number, because the mean of its divisors is an integer number (47432).

2^2800980 is an apocalyptic number.

2800980 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 2800980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691840).

2800980 is an abundant number, since it is smaller than the sum of its proper divisors (8582700).

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

2800980 is a wasteful number, since it uses less digits than its factorization.

2800980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2800980 is about 1673.6128584592. The cubic root of 2800980 is about 140.9624164203.

2800980 divided by its sum of digits (27) gives a triangular number (103740 = T₄₅₅).

It can be divided in two parts, 2800 and 980, that multiplied together give a cube (2744000 = 140³).

The spelling of 2800980 in words is "two million, eight hundred thousand, nine hundred eighty".