2642989440 has 384 divisors, whose sum is σ = 10558689120. Its totient is φ = 557383680.

The previous prime is 2642989423. The next prime is 2642989441. The reversal of 2642989440 is 449892462.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2642989440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642989441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1221960 + ... + 1224120.

Almost surely, 2^2642989440 is an apocalyptic number.

2642989440 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 2642989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279344560).

2642989440 is an abundant number, since it is smaller than the sum of its proper divisors (7915699680).

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

2642989440 is a wasteful number, since it uses less digits than its factorization.

2642989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 2642989440 is about 51410.0130324823. The cubic root of 2642989440 is about 1382.6061233496.

The spelling of 2642989440 in words is "two billion, six hundred forty-two million, nine hundred eighty-nine thousand, four hundred forty".