2691420480 has 224 divisors, whose sum is σ = 10851367680. Its totient is φ = 615168000.

The previous prime is 2691420419. The next prime is 2691420481. The reversal of 2691420480 is 840241962.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2691420481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38230 + ... + 82730.

Almost surely, 2^2691420480 is an apocalyptic number.

2691420480 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 2691420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425683840).

2691420480 is an abundant number, since it is smaller than the sum of its proper divisors (8159947200).

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

2691420480 is a wasteful number, since it uses less digits than its factorization.

2691420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44534 (or 44518 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2691420480 is about 51878.9020701094. The cubic root of 2691420480 is about 1391.0001738263. Note that the first 3 decimals are identical.

The spelling of 2691420480 in words is "two billion, six hundred ninety-one million, four hundred twenty thousand, four hundred eighty".