2409962940 has 576 divisors, whose sum is σ = 9661317120. Its totient is φ = 471744000.

The previous prime is 2409962939. The next prime is 2409962941. The reversal of 2409962940 is 492699042.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2409962939) and next prime (2409962941).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409962941) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30505821 + ... + 30505899.

It is an arithmetic number, because the mean of its divisors is an integer number (16773120).

Almost surely, 2^2409962940 is an apocalyptic number.

2409962940 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 2409962940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830658560).

2409962940 is an abundant number, since it is smaller than the sum of its proper divisors (7251354180).

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

2409962940 is a wasteful number, since it uses less digits than its factorization.

2409962940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2409962940 is about 49091.3733765923. The cubic root of 2409962940 is about 1340.7159870110.

The spelling of 2409962940 in words is "two billion, four hundred nine million, nine hundred sixty-two thousand, nine hundred forty".