2640213400 has 192 divisors, whose sum is σ = 7143292800. Its totient is φ = 897408000.

The previous prime is 2640213383. The next prime is 2640213439. The reversal of 2640213400 is 43120462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3469020 + ... + 3469780.

It is an arithmetic number, because the mean of its divisors is an integer number (37204650).

Almost surely, 2^2640213400 is an apocalyptic number.

2640213400 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 2640213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571646400).

2640213400 is an abundant number, since it is smaller than the sum of its proper divisors (4503079400).

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

2640213400 is a wasteful number, since it uses less digits than its factorization.

2640213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2640213400 is about 51383.0069186302. The cubic root of 2640213400 is about 1382.1218845018.

Adding to 2640213400 its reverse (43120462), we get a palindrome (2683333862).

The spelling of 2640213400 in words is "two billion, six hundred forty million, two hundred thirteen thousand, four hundred".