2612343900 has 72 divisors (see below), whose sum is σ = 7600763520. Its totient is φ = 692719040.

The previous prime is 2612343889. The next prime is 2612343907. The reversal of 2612343900 is 93432162.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612343907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29377 + ... + 78023.

It is an arithmetic number, because the mean of its divisors is an integer number (105566160).

Almost surely, 2^2612343900 is an apocalyptic number.

2612343900 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 2612343900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800381760).

2612343900 is an abundant number, since it is smaller than the sum of its proper divisors (4988419620).

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

2612343900 is a wasteful number, since it uses less digits than its factorization.

2612343900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48843 (or 48836 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 2612343900 is about 51111.0937077265. The cubic root of 2612343900 is about 1377.2415493106.

The spelling of 2612343900 in words is "two billion, six hundred twelve million, three hundred forty-three thousand, nine hundred".